Enhanced high-dimensional teleportation in correlated amplitude damping noise by weak measurement and environment-assisted measurement

Tian-Xiang Lu; Xing Xiao; Yan-Ling Li

arxiv: 2312.03988 · v3 · submitted 2023-12-07 · 🪐 quant-ph

Enhanced high-dimensional teleportation in correlated amplitude damping noise by weak measurement and environment-assisted measurement

Xing Xiao , Tian-Xiang Lu , Yan-Ling Li This is my paper

Pith reviewed 2026-05-24 04:58 UTC · model grok-4.3

classification 🪐 quant-ph

keywords qutrit teleportationcorrelated amplitude dampingweak measurementenvironment-assisted measurementquantum noisehigh-dimensional entanglementfidelity enhancement

0 comments

The pith

Weak measurement and environment-assisted measurement raise fidelity of qutrit teleportation through correlated amplitude damping noise.

A machine-rendered reading of the paper's core claim, the machinery that carries it, and where it could break.

The paper establishes two probabilistic strategies, weak measurement and environment-assisted measurement, that improve the fidelity of teleporting qutrit states when shared entanglement travels through a correlated amplitude damping channel. Correlation in the noise raises the success probability of both techniques. Environment-assisted measurement typically yields higher fidelity than weak measurement. The methods rely on the probabilistic filtering action of the measurements to suppress noise effects on the high-dimensional entangled resource. This matters for quantum networks because high-dimensional teleportation promises higher capacity but requires protected entanglement distribution over lossy channels.

Core claim

The authors present two strategies for enhancing qutrit teleportation in correlated amplitude damping noise by weak measurement and environment-assisted measurement. The fidelity of both approaches has been dramatically improved due to the probabilistic nature of WM and EAM. Correlation effects of CAD noise result in an increase in the probability of success. A comparison has demonstrated that the EAM scheme usually outperforms the WM scheme in regard to fidelity.

What carries the argument

Weak measurement and environment-assisted measurement applied before or after the correlated amplitude damping channel to probabilistically recover higher teleportation fidelity for qutrit states.

Load-bearing premise

The noise acting on the two qutrits is exactly the correlated amplitude damping channel whose Kraus operators and correlation parameter are taken as given.

What would settle it

Measure the achieved teleportation fidelity and success probability for qutrit states sent through a physical channel engineered to apply amplitude damping with a controllable correlation parameter, then compare results with and without the weak measurement or environment-assisted measurement steps.

read the original abstract

High-dimensional teleportation provides various benefits in quantum networks and repeaters, but all these advantages rely on the high-quality distribution of high-dimensional entanglement over a noisy channel. It is essential to consider correlation effects when two entangled qutrits travel sequentially through the same channel. In this paper, we present two strategies for enhancing qutrit teleportation in correlated amplitude damping (CAD) noise by weak measurement (WM) and environment-assisted measurement (EAM). The fidelity of both approaches has been dramatically improved due to the probabilistic nature of WM and EAM. We have observed that the correlation effects of CAD noise result in an increase in the probability of success. A comparison has demonstrated that the EAM scheme usually outperforms the WM scheme in regard to fidelity. Our research expands the capabilities of WM and EAM as quantum techniques to combat CAD noise in qutrit teleportation, facilitating the development of advanced quantum technologies in high-dimensional systems.

Editorial analysis

A structured set of objections, weighed in public.

Desk editor's note, referee report, simulated authors' rebuttal, and a circularity audit. Tearing a paper down is the easy half of reading it; the pith above is the substance, this is the friction.

Desk Editor's Note private letter to a colleague

The paper works out that EAM beats WM on fidelity for qutrit teleportation in correlated amplitude damping, with the correlation itself raising success probability, all inside the standard CAD model.

read the letter

The central finding is that both weak measurement and environment-assisted measurement raise the teleportation fidelity under this noise, with EAM coming out ahead in the comparisons and the correlation parameter boosting the success probability for the filtered cases. They derive the relevant fidelity expressions by applying the two-qutrit CAD Kraus operators to the input state and then inserting the WM or EAM operators, then plot the outcomes versus damping strength and correlation strength μ. That is the concrete contribution: a side-by-side numerical check for qutrits rather than qubits. The derivations follow the usual pattern for these filters and look internally consistent once the channel is fixed. The plots show the expected trade-off between fidelity gain and success probability, but the correlation term helps on the probability side, which is a small but useful observation. The main limitation is that every gain is derived under the exact CAD channel with perfectly known μ; any deviation in the physical noise (extra dephasing, imperfect correlation, or unknown parameters) would change the filtering operators and remove the reported improvements. No robustness checks appear. This is a targeted calculation for people already working on high-dimensional quantum communication and noise mitigation. It does not open a new direction but supplies a clear comparison that a specialist might want to check. I would send it to referees for a close look at the algebra and the numerical implementation.

Referee Report

1 major / 2 minor

Summary. The manuscript proposes two probabilistic strategies—weak measurement (WM) and environment-assisted measurement (EAM)—to enhance the fidelity of qutrit teleportation through correlated amplitude-damping (CAD) noise. It claims that both methods produce dramatic fidelity gains, that the correlation parameter of the CAD channel increases the success probability, and that EAM typically outperforms WM.

Significance. If the derivations hold, the work supplies concrete analytic expressions and comparisons showing how WM and EAM can mitigate a specific correlated noise model in high-dimensional teleportation. This is relevant to quantum networks and repeaters that rely on distributing qutrit entanglement, and the explicit comparison between the two filtering techniques adds value beyond single-technique studies.

major comments (1)

[Sections 3–4, Eqs. (8–15) and (20–27)] Sections 3–4, Eqs. (8–15) (WM) and Eqs. (20–27) (EAM): all fidelity and success-probability expressions are obtained by applying the exact two-qutrit CAD Kraus operators with a fixed, perfectly known correlation parameter μ. No robustness or sensitivity analysis is supplied for deviations from this idealized channel (additional dephasing, imperfect correlation control, or unknown μ), which directly underpins the headline claims of dramatic fidelity improvement and correlation-driven success-probability increase.

minor comments (2)

[Abstract] Abstract: the phrase 'dramatically improved' is used without a quantitative benchmark or pointer to the specific figures/tables that display the fidelity gains relative to the unprotected case.
[Figure captions / Section 5] The manuscript does not state whether the plotted curves assume a particular range of the correlation parameter μ or whether the comparison between WM and EAM is performed at equal success probability.

Simulated Author's Rebuttal

1 responses · 0 unresolved

We thank the referee for the constructive feedback. We address the single major comment below regarding the idealized assumptions in our noise model.

read point-by-point responses

Referee: [Sections 3–4, Eqs. (8–15) and (20–27)] Sections 3–4, Eqs. (8–15) (WM) and Eqs. (20–27) (EAM): all fidelity and success-probability expressions are obtained by applying the exact two-qutrit CAD Kraus operators with a fixed, perfectly known correlation parameter μ. No robustness or sensitivity analysis is supplied for deviations from this idealized channel (additional dephasing, imperfect correlation control, or unknown μ), which directly underpins the headline claims of dramatic fidelity improvement and correlation-driven success-probability increase.

Authors: We agree that the derivations assume a perfectly known, fixed correlation parameter μ with no additional dephasing or control imperfections. This is the standard idealized treatment of the correlated amplitude-damping channel that permits closed-form analytic expressions for fidelity and success probability. The headline claims are therefore specific to this model. We acknowledge that a sensitivity analysis would strengthen the practical implications. In the revised manuscript we will add a concise discussion paragraph in Section 5 (Conclusions) that explicitly states the modeling assumptions and qualitatively outlines how deviations in μ or extra noise could affect the reported gains, thereby partially addressing the referee’s concern without performing new numerical robustness studies. revision: partial

Circularity Check

0 steps flagged

No circularity: fidelity expressions follow from direct application of standard CAD Kraus operators to WM/EAM filtering.

full rationale

The paper defines the correlated amplitude damping channel explicitly via its Kraus operators and correlation parameter μ (Section 2), then derives fidelity formulas (Eqs. 8–15 for WM, 20–27 for EAM) by applying those operators to the input qutrit state under the probabilistic WM/EAM maps. These are standard open-system calculations with no reduction of any 'prediction' to a fitted input by construction, no self-citation chains invoked for uniqueness or ansatz, and no renaming of known results. The success-probability increase with correlation is a direct algebraic consequence of the channel definition rather than an independent claim. The derivation is therefore self-contained and externally verifiable from the stated model.

Axiom & Free-Parameter Ledger

0 free parameters · 0 axioms · 0 invented entities

Abstract-only review; no explicit free parameters, axioms, or invented entities are stated. All technical details required for the ledger are absent.

pith-pipeline@v0.9.0 · 5693 in / 1221 out tokens · 17153 ms · 2026-05-24T04:58:39.961532+00:00 · methodology

discussion (0)

Reference graph

Works this paper leans on

77 extracted references · 77 canonical work pages

[1]

Bennett, C.H., Brassard, G., Cr´ epeau, C., Jozsa, R., Peres, A., Wootters, W.K.: Teleporting an unknown quantum state via dual classical and Einstein-Podolsky-Rosen channles. Phys. Rev. Lett. 70, 1895–1899 (1993)

work page 1993
[2]

Cambridge University Press, Cambridge (2000)

Nielsen, M.A., Chuang, I.L.: Quantum Computation and Quantum Information. Cambridge University Press, Cambridge (2000)

work page 2000
[3]

Nature (London) 390, 575 (1997)

Bouwmeester, D., Pan, J.W., Mattle, K., Eibl, M., Weinfurter, H., Zeilinger, A.: Experimental quantum teleportation. Nature (London) 390, 575 (1997)

work page 1997
[4]

Science 282, 706 (1998)

Furusawa, A., Sørensen, J.L., Braunstein, S.L., Fuchs, C.A., Kimble, H.J., Polzik, E.S.: Unconditional quantum teleportation. Science 282, 706 (1998)

work page 1998
[5]

Braunstein, S.L., Kimble, H.J.: Teleportation of continuous quantum variables. Phys. Rev. Lett. 80, 869 (1998)

work page 1998
[6]

Kim, Y.H., Kulik, S.P., Shi, Y.H.: Quantum teleportation of a polarization state with a complete Bell state measurement. Phys. Rev. Lett. 86, 1370 (2001)

work page 2001
[7]

Nature (London) 429, 734 (2004)

Riebe, M., H¨ affner, H., Roos, C.F., H¨ ansel, W., Benhelm, J., Lancaster, G.P.T., K¨ orber, T.W., Becher, C., Schmidt-Kaler, F., James, D.F.V., Blatt, R.: Deterministic quantum teleportation with atoms. Nature (London) 429, 734 (2004)

work page 2004
[8]

Nature (London) 429, 737 (2004)

Barrett, M.D., Chiaverini, J., Schaetz, T., Britton, J., Itano, W.M., Jost, J.D., Knill, E., Langer, C., Leibfried, D., Ozeri, R., Wineland, D.J.: Deterministic quantum teleportation of atomic qubits. Nature (London) 429, 737 (2004)

work page 2004
[9]

Science 323, 486 (2009)

Olmschenk, S., Matsukevich, D.N., Maunz, P., Hayes, D., Duan, L.M., Monroe, C.: Quantum teleportation between distant matter qubits. Science 323, 486 (2009)

work page 2009
[10]

Science 345, 532 (2014)

Pfaff, W., Hensen, B.J., Bernien, H., van Dam, S.B., Blok, M.S., Taminiau, T.H., Tiggelman, M.J., Schouten, R.N., Markham, M., Twitchen, D.J., et al .: Unconditional quantum teleportation between distant solid-state quantum bits. Science 345, 532 (2014)

work page 2014
[11]

Nature (London) 518, 516 (2015)

Wang, X.L., Cai, X.D., Su, Z.E., Chen, M.C., Wu, D., Li, L., Liu, N.L., Lu, C.Y., Pan, J.W.: Quantum teleportation of multiple degrees of freedom of a single photon. Nature (London) 518, 516 (2015)

work page 2015
[12]

Pirandola, S., Eisert, J., Weedbrook, C., Furusawa, A., Braunstein, S.L.: Advances in quantum teleportation. Nat. Photon. 5, 641 (2015)

work page 2015
[13]

Sun, Q.C., Mao, Y.L., Chen, S.J., Zhang, W., Jiang, Y.F., Zhang, Y.B., Zhang, W.J., Miki, S., Yamashita, T., et al .: Quantum teleportation with independent sources and prior entanglement distribution over a network. Nat. Photon. 10, 671 (2016)

work page 2016
[14]

Puigibert, M.li, Zhou, Q., Aguilar, G.H., Verma, V.B., Marsili, F., Shaw, M.D., Nam, S.W., Oblak, D., Tittel, W.: Quantum teleportation across a metropolitan fibre network

Valivarthi, R., G. Puigibert, M.li, Zhou, Q., Aguilar, G.H., Verma, V.B., Marsili, F., Shaw, M.D., Nam, S.W., Oblak, D., Tittel, W.: Quantum teleportation across a metropolitan fibre network. Nat. Photon. 10, 676 (2016)

work page 2016
[15]

PRX Quantum 1, 020317 (2020)

Valivarthi, R., Davis, S.I., Pe˜ na, C., Xie, S., Lauk, N., Narv´ aez, L., Allmaras, J.P., Beyer, A.D., Gim, Y., Hussein, M., et al .: Teleportation systems toward a quantum internet. PRX Quantum 1, 020317 (2020)

work page 2020
[16]

Nature (London) 549, 70 (2017)

Ren, J.G., Xu, P., Yong, H.L., Zhang, L., Liao, S.K., Yin, J., Liu, W.Y., Cai, W.Q., Yang, M., Li, L., et al .: Ground-to-satellite quantum teleportation. Nature (London) 549, 70 (2017)

work page 2017
[17]

Lu, C.Y., Cao, Y., Peng, C.Z., Pan, J.W.: Micius quantum experiments in space. Rev. Mod. Phys. 94, 035001 (2022)

work page 2022
[18]

arXiv:2303.17224

Gonzalez-Raya, T., Pirandola, S., Sanz, M.: Satellite-based entanglement distribution and quantum teleportation with continuous variables. arXiv:2303.17224

work page arXiv
[19]

Lanyon, B.P., Barbieri, M., Almeida, M.P., Jennewein, T., Ralph, T.C., Resch, K.J., Pryde, G.J., O’Brein, J.J., Gilchrist, A., White, A.G.: Simplifying quantum logic using higher-dimensional Hilbert spaces. Nat. Phys. 5, 134 (2009)

work page 2009
[20]

Barreiro, J.T., Wei, T.C., Kwiat, P.G.: Beating the channel capacity limit for linear photonic superdense coding. Nat. Phys. 4, 282 (2008)

work page 2008
[21]

Pirandola, S., Laurenza, R., Ottaviani, C., Banchi, L.: Fundamental limits of repeaterless quantum communications. Nat. Commun. 8, 15043 (2017)

work page 2017
[22]

Quantum 3, 216 (2019)

Miller, D., Holz, T., Kampermann, H., Bruß, D.: Parameter regimes for surpassing the PLOB bound with error-corrected qudit repeaters. Quantum 3, 216 (2019)

work page 2019
[23]

Cerf, N.J., Bourennane, M., Karlsson, A., Gisin, N.: Security of quantum key distribution using d-Level systems. Phys. Rev. Lett. 88, 127902 (2002)

work page 2002
[24]

Ecker, S., Bouchard, F., Bulla, L., Brandt, F., Kohout, O., Steinlechner, F., Fickler, R., Malik, M., Guryanova, Y., Ursin, R., Huber, M.: Overcoming noise in entanglement distribution. Phys. Rev. X 9, 041042 (2019)

work page 2019
[25]

John Wiley and Sons (2006) Xiao et al

Cover, T.M., Thomas, J.A.: Elements of Information Theory. John Wiley and Sons (2006) Xiao et al. Page 19 of 20

work page 2006
[26]

Science 325, 722 (2009)

Neeley, M., Ansmann, M., Bialczak, R.C., Hofheinz, M., Lucero, E., O’Connell, A.D., Sank, D., Wang, H., Wenner, J., Cleland, A.N., Geller, M.R., Martinis, J.M.: Emulation of a quantum spin with a superconducting phase qudit. Science 325, 722 (2009)

work page 2009
[27]

Blok, M.S., Ramasesh, V.V., Schuster, T., O’Brien, K., Kreikebaum, J.M., Dahlen, D., Morvan, A., Yoshida, B., Yao, N.Y., Siddiqi, I.: Quantum Information Scrambling on a Superconducting Qutrit Processor. Phys. Rev. X 11, 021010 (2021)

work page 2021
[28]

Science 338, 640 (2012)

Fickler, R., Lapkiewicz, R., Plick, W.N., Krenn, M., Schaeff, C., Ramelow, S., Zeilinger, A.: Quantum entanglement of high angular momenta. Science 338, 640 (2012)

work page 2012
[29]

Quantum 2, 79 (2018)

Preskill, J.: Quantum computing in the NISQ era and beyond. Quantum 2, 79 (2018)

work page 2018
[30]

Luo, Y.H., Zhong, H.S., Erhard, M., Wang, X.L., Peng, L.C., Krenn, M., Jiang, X., Li, L., Liu, N.L., Lu, C.Y., Zeilinger, A., Pan, J.W.: Quantum teleportation in high dimensions. Phys. Rev. Lett. 123, 070505 (2019)

work page 2019
[31]

Hu, X.M., Zhang, C., Liu, B.H., Cai, Y., Ye, X.J., Guo, Y., Xing, W.B., Huang, C.X., Huang, Y.F., Li, C.F., Guo, G.C.: Experimental high-dimensional quantum teleportation. Phys. Rev. Lett. 125, 230501 (2020)

work page 2020
[32]

arXiv:2112.03764

Qiu, X., Guo, H., Chen, L.: Quantum teleportation of high-dimensional spatial modes: Towards an image teleporter. arXiv:2112.03764

work page arXiv
[33]

arXiv:2111.13624

Sephton, B., Vall´ es, A., Nape, I., Cox, M.A., Steinlechner, F., Konrad, T., Torres, J.P., Roux, F.S., Forbes, A.: Stimulated teleportation of high-dimensional information with a nonlinear spatial mode detector. arXiv:2111.13624

work page arXiv
[34]

Hu, X.M., Guo, Y., Liu, B.H., Li, C.F., Guo, G.C.: Progress in quantum teleportation. Nat. Rev. Phys. 5, 339 (2023)

work page 2023
[35]

Knoll, L.T., Schmiegelow, C.T., Larotonda, M.A.: Noisy quantum teleportation: An experimental study on the influence of local environments. Phys. Rev. A 90, 042332 (2014)

work page 2014
[36]

Fortes, R., Rigolin, G.: Fighting noise with noise in realistic quantum teleportation. Phys. Rev. A 92, 012338 (2015)

work page 2015
[37]

Fonseca, A.: High-dimensional quantum teleportation under noisy environments. Phys. Rev. A 100, 062311 (2019)

work page 2019
[38]

Macchiavello, C., Palma, G.M.: Entanglement-enhanced information transmission over a quantum channel with correlated noise. Phys. Rev. A 65, 050301(R) (2002)

work page 2002
[39]

Banaszek, K., Dragan, A., Wasilewski, W., Radzewicz, C.: Experimental demonstration of entanglement-enhanced classical communication over a quantum channel with correlated noise. Phys. Rev. Lett. 92, 257901 (2004)

work page 2004
[40]

D’Arrigo, A., Benenti, G., Falci, G.: Quantum capacity of dephasing channels with memory. New J. Phys. 9, 310 (2007)

work page 2007
[41]

Plenio, M.B., Virmani, S.: Spin chains and channels with memory. Phys. Rev. Lett. 99, 120504 (2007)

work page 2007
[42]

D’Arrigo, A., Benenti, G., Falci, G., Macchiavello, C.: Classical and quantum capacities of a fully correlated amplitude damping channel. Phys. Rev. A 88, 042337 (2013)

work page 2013
[43]

PRX Quantum 1, 010305 (2020)

von L¨ upke, U., Beaudoin, F., Norris, L.M., Sung, Y., Winik, R., Qiu, J.Y., Kjaergaard, M., Kim, D., Yoder, J., Gustavsson, S., Viola, L., Oliver, W.D.: Two-qubit spectroscopy of spatiotemporally correlated quantum noise in superconducting qubits. PRX Quantum 1, 010305 (2020)

work page 2020
[44]

Nature (London) 594, 369 (2021)

Wilen, C.D., Abdullah, S., Kurinsky, N.A., Stanford, C., Cardani, L., D’Imperio, G., Tomei, C., Faoro, L., Ioffe, L.B., Liu, C.H., et al .: Correlated charge noise and relaxation errors in superconducting qubits. Nature (London) 594, 369 (2021)

work page 2021
[45]

D’Arrigo, A., Benenti, G., Falci, G., Macchiavello, C.: Information transmission over an amplitude damping channel with an arbitrary degree of memory. Phys. Rev. A 92, 062342 (2015)

work page 2015
[46]

Quantum Inf

Xiao, X., Yao, Y., Xie, Y.M., Wang, X.H., Li, Y.L.: Protecting entanglement from correlated amplitude damping channel using weak measurement and quantum measurement reversal. Quantum Inf. Process. 15, 3881 (2016)

work page 2016
[47]

Xu, K., Zhang, F., Liu, W.M.: Quantum dynamical speedup in correlated noisy channels. Phys. Rev. A 100, 052305 (2019)

work page 2019
[48]

Jeong, Y., Shin, H.: Quantum correlation in squeezed generalized amplitude damping channels with memory. Sci. Rep. 9, 4035 (2019)

work page 2019
[49]

Seida, C., El Allati, A., Metwally, N., Hassouni, Y.: Bidirectional teleportation under correlated noise. Eur. Phys. J. D 75, 170 (2021)

work page 2021
[50]

Physica A 596, 127129 (2022)

Sk, R., Panigrahi, P.K.: Protecting quantum coherence and entanglement in a correlated environment. Physica A 596, 127129 (2022)

work page 2022
[51]

Results in Physics 37, 105526 (2022)

Sun, Y.H., Xie, Y.X.: Memory effect of a dephasing channel on measurement uncertainty, dense coding, teleportation, and quantum Fisher information. Results in Physics 37, 105526 (2022)

work page 2022
[52]

Li, Y.L., Yao, L., Zeng, Y.B.: Enhancing the teleportation of quantum Fisher information under correlated amplitude damping decoherence. Front. Phys. 10, 965274 (2022)

work page 2022
[53]

Results in Physics 53, 107010 (2023)

Li, Y.L., Liao, C.H., Yao, L., Xiao, X.: Enhancing the teleportation of quantum Fisher information under correlated generalized amplitude damping noise. Results in Physics 53, 107010 (2023)

work page 2023
[54]

Results in Physics 54, 107050 (2023)

Lan, Y.T., Hu, M.L.: Protecting steered coherence in squeezed generalized amplitude damping channel with memory. Results in Physics 54, 107050 (2023)

work page 2023
[55]

Korotkov, A.N., Jordan, A.N.: Undoing a weak quantum measurement of a solid-state qubit. Phys. Rev. Lett. 97, 166805 (2006)

work page 2006
[56]

Katz, N., Neeley, M., Ansmann, M., Bialczak, R.C., Hofheinz, M., Lucero, E., O’Connell, A., Wang, H., Cleland, A.N., Martinis, J.M., Korotkov, A.N.: Reversal of the Weak Measurement of a Quantum State in a Superconducting Phase Qubit. Phys. Rev. Lett. 101, 200401 (2008)

work page 2008
[57]

Korotkov, A.N., Keane, K.: Decoherence suppression by quantum measurement reversal. Phys. Rev. A 81, 040103(R) (2010)

work page 2010
[58]

Kim, Y.S., Lee, J.C., Kwon, O., Kim, Y.H.: Protecting entanglement from decoherence using weak measurement and quantum measurement reversal. Nat. Phys. 8, 117 (2012)

work page 2012
[59]

Page 20 of 20 of weak measurements and quantum measurement reversals

Man, Z.X., Xia, Y.J., An, N.B.: Manipulating entanglement of two qubits in a common environment by means Xiao et al. Page 20 of 20 of weak measurements and quantum measurement reversals. Phys. Rev. A 86, 012325 (2012)

work page 2012
[60]

Wang, S.C., Yu, Z.W., Zou, W.J., Wang, X.B.: Protecting quantum states from decoherence of finite temperature using weak measurement. Phys. Rev. A 89, 022318 (2014)

work page 2014
[61]

Zhang, Y.J., Han, W., Fan, H., Xia, Y.J.: Enhancing entanglement trapping by weak measurement and quantum measurement reversal. Ann. Phys. (NY) 354, 203 (2015)

work page 2015
[62]

Xiao, X., Yao, Y., Zhong, W.J., Li, Y.L., Xie, Y.M.: Enhancing teleportation of quantum Fisher information by partial measurements. Phys. Rev. A 93, 012307 (2016)

work page 2016
[63]

Xiao, X., Xie, Y.M., Yao, Y., Li, Y.L., Wang, J.: Retrieving the lost fermionic entanglement by partial measurement in noninertial frames. Ann. Phys. (NY) 390, 83 (2018)

work page 2018
[64]

Xiao, X., Yao, Y., Li, Y.L., Xie, Y.M.: Enhanced quantum teleportation in the background of Schwarzschild spacetime by weak measurements. Eur. Phys. J. Plus 135, 79 (2020)

work page 2020
[65]

Quantum Inf

Li, Y.L., Sun, F., Yang, J., Xiao, X.: Enhancing the teleportation of quantum Fisher information by weak measurement and environment-assisted measurement. Quantum Inf. Process. 20, 55 (2021)

work page 2021
[66]

EPJ Quantum Technol

Harraz, S., Cong, S., Nieto, J.J.: Enhancing quantum teleportation fidelity under decoherence via weak measurement with flips. EPJ Quantum Technol. 9, 15 (2022)

work page 2022
[67]

Rodriguez-Blanco, A., Whaley, K.B., Bermudez, A.: Suppressing amplitude damping in trapped ions: Discrete weak measurements for a nonunitary probabilistic noise filter. Phys. Rev. A 107, 052409 (2023)

work page 2023
[68]

EPJ Quantum Technol

Xu, R., Zhou, R.G., Li, Y., Jiang, S., Ian, H.: Enhancing robustness of noisy qutrit teleportation with Markovian memory. EPJ Quantum Technol. 9, 4 (2022)

work page 2022
[69]

Xiao, X., Li, Y.L.: Protecting qutrit-qutrit entanglement by weak measurement and reversal. Eur. Phys. J. D 67, 204 (2013)

work page 2013
[70]

Xiao, X.: Protecting qubit–qutrit entanglement from amplitude damping decoherence via weak measurement and reversal. Phys. Scr. 89, 065102 (2014)

work page 2014
[71]

Lloyd, S., Shahriar, M.S., Shapiro, J.H., Hemmer, P.R.: Long Distance, Unconditional Teleportation of Atomic States via Complete Bell State Measurements. Phys. Rev. Lett. 87, 167903 (2001)

work page 2001
[72]

Cambridge University Press, Cambridge (1997)

Scully, M.O., Zubairy, M.S.: Quantum Optics. Cambridge University Press, Cambridge (1997)

work page 1997
[73]

Hayashi, A., Hashimoto, T., Horibe, M.: Reexamination of optimal quantum state estimation of pure states. Phys. Rev. A 72, 032325 (2005)

work page 2005
[74]

Zhao, X., Hedemann, S.R., Yu, T.: Restoration of a quantum state in a dephasing channel via environment-assisted error correction. Phys. Rev. A 88, 022321 (2013)

work page 2013
[75]

Wang, K., Zhao, X., Yu, T.: Environment-assisted quantum state restoration via weak measurements. Phys. Rev. A 89, 042320 (2014)

work page 2014
[76]

Yeo, Y., Skeen, A.: Time-correlated quantum amplitude-damping channel. Phys. Rev. A 67, 064301 (2003)

work page 2003
[77]

Wang, S., Han, X.H., Li, W.C., Qian, T., Fan, X., Xiao, Y., Gu, Y.J.: Protecting nonlocal quantum correlations in correlated squeezed generalized amplitude damping. Sci. Rep. 12, 20481 (2022)

work page 2022

[1] [1]

Bennett, C.H., Brassard, G., Cr´ epeau, C., Jozsa, R., Peres, A., Wootters, W.K.: Teleporting an unknown quantum state via dual classical and Einstein-Podolsky-Rosen channles. Phys. Rev. Lett. 70, 1895–1899 (1993)

work page 1993

[2] [2]

Cambridge University Press, Cambridge (2000)

Nielsen, M.A., Chuang, I.L.: Quantum Computation and Quantum Information. Cambridge University Press, Cambridge (2000)

work page 2000

[3] [3]

Nature (London) 390, 575 (1997)

Bouwmeester, D., Pan, J.W., Mattle, K., Eibl, M., Weinfurter, H., Zeilinger, A.: Experimental quantum teleportation. Nature (London) 390, 575 (1997)

work page 1997

[4] [4]

Science 282, 706 (1998)

Furusawa, A., Sørensen, J.L., Braunstein, S.L., Fuchs, C.A., Kimble, H.J., Polzik, E.S.: Unconditional quantum teleportation. Science 282, 706 (1998)

work page 1998

[5] [5]

Braunstein, S.L., Kimble, H.J.: Teleportation of continuous quantum variables. Phys. Rev. Lett. 80, 869 (1998)

work page 1998

[6] [6]

Kim, Y.H., Kulik, S.P., Shi, Y.H.: Quantum teleportation of a polarization state with a complete Bell state measurement. Phys. Rev. Lett. 86, 1370 (2001)

work page 2001

[7] [7]

Nature (London) 429, 734 (2004)

Riebe, M., H¨ affner, H., Roos, C.F., H¨ ansel, W., Benhelm, J., Lancaster, G.P.T., K¨ orber, T.W., Becher, C., Schmidt-Kaler, F., James, D.F.V., Blatt, R.: Deterministic quantum teleportation with atoms. Nature (London) 429, 734 (2004)

work page 2004

[8] [8]

Nature (London) 429, 737 (2004)

Barrett, M.D., Chiaverini, J., Schaetz, T., Britton, J., Itano, W.M., Jost, J.D., Knill, E., Langer, C., Leibfried, D., Ozeri, R., Wineland, D.J.: Deterministic quantum teleportation of atomic qubits. Nature (London) 429, 737 (2004)

work page 2004

[9] [9]

Science 323, 486 (2009)

Olmschenk, S., Matsukevich, D.N., Maunz, P., Hayes, D., Duan, L.M., Monroe, C.: Quantum teleportation between distant matter qubits. Science 323, 486 (2009)

work page 2009

[10] [10]

Science 345, 532 (2014)

Pfaff, W., Hensen, B.J., Bernien, H., van Dam, S.B., Blok, M.S., Taminiau, T.H., Tiggelman, M.J., Schouten, R.N., Markham, M., Twitchen, D.J., et al .: Unconditional quantum teleportation between distant solid-state quantum bits. Science 345, 532 (2014)

work page 2014

[11] [11]

Nature (London) 518, 516 (2015)

Wang, X.L., Cai, X.D., Su, Z.E., Chen, M.C., Wu, D., Li, L., Liu, N.L., Lu, C.Y., Pan, J.W.: Quantum teleportation of multiple degrees of freedom of a single photon. Nature (London) 518, 516 (2015)

work page 2015

[12] [12]

Pirandola, S., Eisert, J., Weedbrook, C., Furusawa, A., Braunstein, S.L.: Advances in quantum teleportation. Nat. Photon. 5, 641 (2015)

work page 2015

[13] [13]

Sun, Q.C., Mao, Y.L., Chen, S.J., Zhang, W., Jiang, Y.F., Zhang, Y.B., Zhang, W.J., Miki, S., Yamashita, T., et al .: Quantum teleportation with independent sources and prior entanglement distribution over a network. Nat. Photon. 10, 671 (2016)

work page 2016

[14] [14]

Puigibert, M.li, Zhou, Q., Aguilar, G.H., Verma, V.B., Marsili, F., Shaw, M.D., Nam, S.W., Oblak, D., Tittel, W.: Quantum teleportation across a metropolitan fibre network

Valivarthi, R., G. Puigibert, M.li, Zhou, Q., Aguilar, G.H., Verma, V.B., Marsili, F., Shaw, M.D., Nam, S.W., Oblak, D., Tittel, W.: Quantum teleportation across a metropolitan fibre network. Nat. Photon. 10, 676 (2016)

work page 2016

[15] [15]

PRX Quantum 1, 020317 (2020)

Valivarthi, R., Davis, S.I., Pe˜ na, C., Xie, S., Lauk, N., Narv´ aez, L., Allmaras, J.P., Beyer, A.D., Gim, Y., Hussein, M., et al .: Teleportation systems toward a quantum internet. PRX Quantum 1, 020317 (2020)

work page 2020

[16] [16]

Nature (London) 549, 70 (2017)

Ren, J.G., Xu, P., Yong, H.L., Zhang, L., Liao, S.K., Yin, J., Liu, W.Y., Cai, W.Q., Yang, M., Li, L., et al .: Ground-to-satellite quantum teleportation. Nature (London) 549, 70 (2017)

work page 2017

[17] [17]

Lu, C.Y., Cao, Y., Peng, C.Z., Pan, J.W.: Micius quantum experiments in space. Rev. Mod. Phys. 94, 035001 (2022)

work page 2022

[18] [18]

arXiv:2303.17224

Gonzalez-Raya, T., Pirandola, S., Sanz, M.: Satellite-based entanglement distribution and quantum teleportation with continuous variables. arXiv:2303.17224

work page arXiv

[19] [19]

Lanyon, B.P., Barbieri, M., Almeida, M.P., Jennewein, T., Ralph, T.C., Resch, K.J., Pryde, G.J., O’Brein, J.J., Gilchrist, A., White, A.G.: Simplifying quantum logic using higher-dimensional Hilbert spaces. Nat. Phys. 5, 134 (2009)

work page 2009

[20] [20]

Barreiro, J.T., Wei, T.C., Kwiat, P.G.: Beating the channel capacity limit for linear photonic superdense coding. Nat. Phys. 4, 282 (2008)

work page 2008

[21] [21]

Pirandola, S., Laurenza, R., Ottaviani, C., Banchi, L.: Fundamental limits of repeaterless quantum communications. Nat. Commun. 8, 15043 (2017)

work page 2017

[22] [22]

Quantum 3, 216 (2019)

Miller, D., Holz, T., Kampermann, H., Bruß, D.: Parameter regimes for surpassing the PLOB bound with error-corrected qudit repeaters. Quantum 3, 216 (2019)

work page 2019

[23] [23]

Cerf, N.J., Bourennane, M., Karlsson, A., Gisin, N.: Security of quantum key distribution using d-Level systems. Phys. Rev. Lett. 88, 127902 (2002)

work page 2002

[24] [24]

Ecker, S., Bouchard, F., Bulla, L., Brandt, F., Kohout, O., Steinlechner, F., Fickler, R., Malik, M., Guryanova, Y., Ursin, R., Huber, M.: Overcoming noise in entanglement distribution. Phys. Rev. X 9, 041042 (2019)

work page 2019

[25] [25]

John Wiley and Sons (2006) Xiao et al

Cover, T.M., Thomas, J.A.: Elements of Information Theory. John Wiley and Sons (2006) Xiao et al. Page 19 of 20

work page 2006

[26] [26]

Science 325, 722 (2009)

Neeley, M., Ansmann, M., Bialczak, R.C., Hofheinz, M., Lucero, E., O’Connell, A.D., Sank, D., Wang, H., Wenner, J., Cleland, A.N., Geller, M.R., Martinis, J.M.: Emulation of a quantum spin with a superconducting phase qudit. Science 325, 722 (2009)

work page 2009

[27] [27]

Blok, M.S., Ramasesh, V.V., Schuster, T., O’Brien, K., Kreikebaum, J.M., Dahlen, D., Morvan, A., Yoshida, B., Yao, N.Y., Siddiqi, I.: Quantum Information Scrambling on a Superconducting Qutrit Processor. Phys. Rev. X 11, 021010 (2021)

work page 2021

[28] [28]

Science 338, 640 (2012)

Fickler, R., Lapkiewicz, R., Plick, W.N., Krenn, M., Schaeff, C., Ramelow, S., Zeilinger, A.: Quantum entanglement of high angular momenta. Science 338, 640 (2012)

work page 2012

[29] [29]

Quantum 2, 79 (2018)

Preskill, J.: Quantum computing in the NISQ era and beyond. Quantum 2, 79 (2018)

work page 2018

[30] [30]

Luo, Y.H., Zhong, H.S., Erhard, M., Wang, X.L., Peng, L.C., Krenn, M., Jiang, X., Li, L., Liu, N.L., Lu, C.Y., Zeilinger, A., Pan, J.W.: Quantum teleportation in high dimensions. Phys. Rev. Lett. 123, 070505 (2019)

work page 2019

[31] [31]

Hu, X.M., Zhang, C., Liu, B.H., Cai, Y., Ye, X.J., Guo, Y., Xing, W.B., Huang, C.X., Huang, Y.F., Li, C.F., Guo, G.C.: Experimental high-dimensional quantum teleportation. Phys. Rev. Lett. 125, 230501 (2020)

work page 2020

[32] [32]

arXiv:2112.03764

Qiu, X., Guo, H., Chen, L.: Quantum teleportation of high-dimensional spatial modes: Towards an image teleporter. arXiv:2112.03764

work page arXiv

[33] [33]

arXiv:2111.13624

Sephton, B., Vall´ es, A., Nape, I., Cox, M.A., Steinlechner, F., Konrad, T., Torres, J.P., Roux, F.S., Forbes, A.: Stimulated teleportation of high-dimensional information with a nonlinear spatial mode detector. arXiv:2111.13624

work page arXiv

[34] [34]

Hu, X.M., Guo, Y., Liu, B.H., Li, C.F., Guo, G.C.: Progress in quantum teleportation. Nat. Rev. Phys. 5, 339 (2023)

work page 2023

[35] [35]

Knoll, L.T., Schmiegelow, C.T., Larotonda, M.A.: Noisy quantum teleportation: An experimental study on the influence of local environments. Phys. Rev. A 90, 042332 (2014)

work page 2014

[36] [36]

Fortes, R., Rigolin, G.: Fighting noise with noise in realistic quantum teleportation. Phys. Rev. A 92, 012338 (2015)

work page 2015

[37] [37]

Fonseca, A.: High-dimensional quantum teleportation under noisy environments. Phys. Rev. A 100, 062311 (2019)

work page 2019

[38] [38]

Macchiavello, C., Palma, G.M.: Entanglement-enhanced information transmission over a quantum channel with correlated noise. Phys. Rev. A 65, 050301(R) (2002)

work page 2002

[39] [39]

Banaszek, K., Dragan, A., Wasilewski, W., Radzewicz, C.: Experimental demonstration of entanglement-enhanced classical communication over a quantum channel with correlated noise. Phys. Rev. Lett. 92, 257901 (2004)

work page 2004

[40] [40]

D’Arrigo, A., Benenti, G., Falci, G.: Quantum capacity of dephasing channels with memory. New J. Phys. 9, 310 (2007)

work page 2007

[41] [41]

Plenio, M.B., Virmani, S.: Spin chains and channels with memory. Phys. Rev. Lett. 99, 120504 (2007)

work page 2007

[42] [42]

D’Arrigo, A., Benenti, G., Falci, G., Macchiavello, C.: Classical and quantum capacities of a fully correlated amplitude damping channel. Phys. Rev. A 88, 042337 (2013)

work page 2013

[43] [43]

PRX Quantum 1, 010305 (2020)

von L¨ upke, U., Beaudoin, F., Norris, L.M., Sung, Y., Winik, R., Qiu, J.Y., Kjaergaard, M., Kim, D., Yoder, J., Gustavsson, S., Viola, L., Oliver, W.D.: Two-qubit spectroscopy of spatiotemporally correlated quantum noise in superconducting qubits. PRX Quantum 1, 010305 (2020)

work page 2020

[44] [44]

Nature (London) 594, 369 (2021)

Wilen, C.D., Abdullah, S., Kurinsky, N.A., Stanford, C., Cardani, L., D’Imperio, G., Tomei, C., Faoro, L., Ioffe, L.B., Liu, C.H., et al .: Correlated charge noise and relaxation errors in superconducting qubits. Nature (London) 594, 369 (2021)

work page 2021

[45] [45]

D’Arrigo, A., Benenti, G., Falci, G., Macchiavello, C.: Information transmission over an amplitude damping channel with an arbitrary degree of memory. Phys. Rev. A 92, 062342 (2015)

work page 2015

[46] [46]

Quantum Inf

Xiao, X., Yao, Y., Xie, Y.M., Wang, X.H., Li, Y.L.: Protecting entanglement from correlated amplitude damping channel using weak measurement and quantum measurement reversal. Quantum Inf. Process. 15, 3881 (2016)

work page 2016

[47] [47]

Xu, K., Zhang, F., Liu, W.M.: Quantum dynamical speedup in correlated noisy channels. Phys. Rev. A 100, 052305 (2019)

work page 2019

[48] [48]

Jeong, Y., Shin, H.: Quantum correlation in squeezed generalized amplitude damping channels with memory. Sci. Rep. 9, 4035 (2019)

work page 2019

[49] [49]

Seida, C., El Allati, A., Metwally, N., Hassouni, Y.: Bidirectional teleportation under correlated noise. Eur. Phys. J. D 75, 170 (2021)

work page 2021

[50] [50]

Physica A 596, 127129 (2022)

Sk, R., Panigrahi, P.K.: Protecting quantum coherence and entanglement in a correlated environment. Physica A 596, 127129 (2022)

work page 2022

[51] [51]

Results in Physics 37, 105526 (2022)

Sun, Y.H., Xie, Y.X.: Memory effect of a dephasing channel on measurement uncertainty, dense coding, teleportation, and quantum Fisher information. Results in Physics 37, 105526 (2022)

work page 2022

[52] [52]

Li, Y.L., Yao, L., Zeng, Y.B.: Enhancing the teleportation of quantum Fisher information under correlated amplitude damping decoherence. Front. Phys. 10, 965274 (2022)

work page 2022

[53] [53]

Results in Physics 53, 107010 (2023)

Li, Y.L., Liao, C.H., Yao, L., Xiao, X.: Enhancing the teleportation of quantum Fisher information under correlated generalized amplitude damping noise. Results in Physics 53, 107010 (2023)

work page 2023

[54] [54]

Results in Physics 54, 107050 (2023)

Lan, Y.T., Hu, M.L.: Protecting steered coherence in squeezed generalized amplitude damping channel with memory. Results in Physics 54, 107050 (2023)

work page 2023

[55] [55]

Korotkov, A.N., Jordan, A.N.: Undoing a weak quantum measurement of a solid-state qubit. Phys. Rev. Lett. 97, 166805 (2006)

work page 2006

[56] [56]

Katz, N., Neeley, M., Ansmann, M., Bialczak, R.C., Hofheinz, M., Lucero, E., O’Connell, A., Wang, H., Cleland, A.N., Martinis, J.M., Korotkov, A.N.: Reversal of the Weak Measurement of a Quantum State in a Superconducting Phase Qubit. Phys. Rev. Lett. 101, 200401 (2008)

work page 2008

[57] [57]

Korotkov, A.N., Keane, K.: Decoherence suppression by quantum measurement reversal. Phys. Rev. A 81, 040103(R) (2010)

work page 2010

[58] [58]

Kim, Y.S., Lee, J.C., Kwon, O., Kim, Y.H.: Protecting entanglement from decoherence using weak measurement and quantum measurement reversal. Nat. Phys. 8, 117 (2012)

work page 2012

[59] [59]

Page 20 of 20 of weak measurements and quantum measurement reversals

Man, Z.X., Xia, Y.J., An, N.B.: Manipulating entanglement of two qubits in a common environment by means Xiao et al. Page 20 of 20 of weak measurements and quantum measurement reversals. Phys. Rev. A 86, 012325 (2012)

work page 2012

[60] [60]

Wang, S.C., Yu, Z.W., Zou, W.J., Wang, X.B.: Protecting quantum states from decoherence of finite temperature using weak measurement. Phys. Rev. A 89, 022318 (2014)

work page 2014

[61] [61]

Zhang, Y.J., Han, W., Fan, H., Xia, Y.J.: Enhancing entanglement trapping by weak measurement and quantum measurement reversal. Ann. Phys. (NY) 354, 203 (2015)

work page 2015

[62] [62]

Xiao, X., Yao, Y., Zhong, W.J., Li, Y.L., Xie, Y.M.: Enhancing teleportation of quantum Fisher information by partial measurements. Phys. Rev. A 93, 012307 (2016)

work page 2016

[63] [63]

Xiao, X., Xie, Y.M., Yao, Y., Li, Y.L., Wang, J.: Retrieving the lost fermionic entanglement by partial measurement in noninertial frames. Ann. Phys. (NY) 390, 83 (2018)

work page 2018

[64] [64]

Xiao, X., Yao, Y., Li, Y.L., Xie, Y.M.: Enhanced quantum teleportation in the background of Schwarzschild spacetime by weak measurements. Eur. Phys. J. Plus 135, 79 (2020)

work page 2020

[65] [65]

Quantum Inf

Li, Y.L., Sun, F., Yang, J., Xiao, X.: Enhancing the teleportation of quantum Fisher information by weak measurement and environment-assisted measurement. Quantum Inf. Process. 20, 55 (2021)

work page 2021

[66] [66]

EPJ Quantum Technol

Harraz, S., Cong, S., Nieto, J.J.: Enhancing quantum teleportation fidelity under decoherence via weak measurement with flips. EPJ Quantum Technol. 9, 15 (2022)

work page 2022

[67] [67]

Rodriguez-Blanco, A., Whaley, K.B., Bermudez, A.: Suppressing amplitude damping in trapped ions: Discrete weak measurements for a nonunitary probabilistic noise filter. Phys. Rev. A 107, 052409 (2023)

work page 2023

[68] [68]

EPJ Quantum Technol

Xu, R., Zhou, R.G., Li, Y., Jiang, S., Ian, H.: Enhancing robustness of noisy qutrit teleportation with Markovian memory. EPJ Quantum Technol. 9, 4 (2022)

work page 2022

[69] [69]

Xiao, X., Li, Y.L.: Protecting qutrit-qutrit entanglement by weak measurement and reversal. Eur. Phys. J. D 67, 204 (2013)

work page 2013

[70] [70]

Xiao, X.: Protecting qubit–qutrit entanglement from amplitude damping decoherence via weak measurement and reversal. Phys. Scr. 89, 065102 (2014)

work page 2014

[71] [71]

Lloyd, S., Shahriar, M.S., Shapiro, J.H., Hemmer, P.R.: Long Distance, Unconditional Teleportation of Atomic States via Complete Bell State Measurements. Phys. Rev. Lett. 87, 167903 (2001)

work page 2001

[72] [72]

Cambridge University Press, Cambridge (1997)

Scully, M.O., Zubairy, M.S.: Quantum Optics. Cambridge University Press, Cambridge (1997)

work page 1997

[73] [73]

Hayashi, A., Hashimoto, T., Horibe, M.: Reexamination of optimal quantum state estimation of pure states. Phys. Rev. A 72, 032325 (2005)

work page 2005

[74] [74]

Zhao, X., Hedemann, S.R., Yu, T.: Restoration of a quantum state in a dephasing channel via environment-assisted error correction. Phys. Rev. A 88, 022321 (2013)

work page 2013

[75] [75]

Wang, K., Zhao, X., Yu, T.: Environment-assisted quantum state restoration via weak measurements. Phys. Rev. A 89, 042320 (2014)

work page 2014

[76] [76]

Yeo, Y., Skeen, A.: Time-correlated quantum amplitude-damping channel. Phys. Rev. A 67, 064301 (2003)

work page 2003

[77] [77]

Wang, S., Han, X.H., Li, W.C., Qian, T., Fan, X., Xiao, Y., Gu, Y.J.: Protecting nonlocal quantum correlations in correlated squeezed generalized amplitude damping. Sci. Rep. 12, 20481 (2022)

work page 2022