Quantum Advantage: A Single Qubit's Experimental Edge in Classical Data Storage
Pith reviewed 2026-05-24 03:37 UTC · model grok-4.3
The pith
A single qubit stores and communicates classical data with an advantage over a classical bit in games without shared randomness.
A machine-rendered reading of the paper's core claim, the machinery that carries it, and where it could break.
Core claim
The experiment establishes efficacy of the elementary quantum system in classical information storage by showing a qubit communication advantage in bipartite games played without any shared randomness between the parties.
What carries the argument
Variational triangular polarimeter that realizes the positive operator valued measurements needed to extract the qubit's communication advantage over a classical bit.
If this is right
- The qubit supplies a semi-device-independent certification scheme for quantum encoding-decoding systems.
- An efficient method for information loading and transmission in quantum networks follows from the demonstrated advantage.
- Robust communication advantage with a single qubit becomes available for near-term quantum technologies.
Where Pith is reading between the lines
- Similar single-system advantages could appear in other communication tasks provided the no-shared-randomness condition is enforced.
- The approach may extend to testing quantum behavior in minimal setups that do not rely on entanglement.
- Protocol designs that deliberately avoid shared correlations might achieve practical gains in quantum networks.
Load-bearing premise
The polarimeter accurately implements the required measurements and the parties truly share no randomness.
What would settle it
A repeat of the games in which the qubit and classical bit are shown to perform equally once shared randomness is verifiably eliminated would falsify the claimed advantage.
Figures
read the original abstract
We implement an experiment on a photonic quantum processor establishing efficacy of the elementary quantum system in classical information storage. The advantage is established by considering a class of simple bipartite games played with the communication resource qubit and classical bit (c-bit), respectively. Conventional wisdom, supported by the no-go theorems of Holevo and Frenkel-Weiner, suggests that such a quantum advantage is unattainable when the sender and receiver share randomness or classical correlations. However, our results reveal a quantum advantage in a scenario devoid of any shared randomness. Our experiment involves the development of a variational triangular polarimeter, enabling the realization of positive operator value measurements crucial for establishing the targeted quantum advantage. Beyond showcasing a robust communication advantage with a single qubit, our work paves the way for immediate applications in near-term quantum technologies. It provides a semi-device-independent certification scheme for quantum encoding-decoding systems and offers an efficient method for information loading and transmission in quantum networks.
Editorial analysis
A structured set of objections, weighed in public.
Referee Report
Summary. The manuscript reports an experimental demonstration on a photonic quantum processor of a quantum advantage for classical information storage and retrieval using a single qubit versus a classical bit, realized through a class of bipartite games. The authors develop a variational triangular polarimeter to implement the required POVMs and claim that the observed advantage holds in a scenario with no shared randomness between sender and receiver, providing a counterexample to the no-go results of Holevo and Frenkel-Weiner while also enabling semi-device-independent certification.
Significance. If the experimental isolation from classical correlations is rigorously established, the result would constitute a concrete experimental counterexample to classical no-go theorems for communication without shared randomness, with direct implications for near-term quantum networks, information loading protocols, and device-independent certification schemes. The photonic implementation and variational approach add practical value for NISQ-era applications.
major comments (2)
- [Experimental setup and methods] The central claim that the advantage exists 'in a scenario devoid of any shared randomness' (abstract) is load-bearing for contradicting the cited no-go theorems, yet the manuscript provides no independent certification (e.g., Bell-test-style verification, source characterization, or bounds on hidden classical channels) that the encoder and decoder are isolated from common randomness or classical correlations. This verification is required to rule out artifacts.
- [Results and discussion] The variational triangular polarimeter is presented as realizing the necessary POVMs for the targeted advantage, but no quantitative error analysis, fidelity metrics, or robustness checks against misalignment are reported that would confirm the measurements achieve the quantum strategy with sufficient precision to exceed the classical bound.
minor comments (2)
- [Introduction] Notation for the bipartite games and the specific POVM elements should be defined explicitly with equations in the main text rather than relying solely on the abstract description.
- [Figures] Figure captions for the photonic processor and polarimeter setup should include scale bars, error bars on data points, and a clear statement of the number of experimental runs.
Simulated Author's Rebuttal
We thank the referee for the careful reading and constructive comments. We address the two major comments point by point below.
read point-by-point responses
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Referee: [Experimental setup and methods] The central claim that the advantage exists 'in a scenario devoid of any shared randomness' (abstract) is load-bearing for contradicting the cited no-go theorems, yet the manuscript provides no independent certification (e.g., Bell-test-style verification, source characterization, or bounds on hidden classical channels) that the encoder and decoder are isolated from common randomness or classical correlations. This verification is required to rule out artifacts.
Authors: We agree that explicit certification of isolation strengthens the claim against the Holevo and Frenkel-Weiner no-go theorems. The manuscript already emphasizes the semi-device-independent character of the protocol and the physical separation of encoder and decoder on the photonic processor with no classical channel present. To address the referee's point directly, we will add a dedicated subsection with source characterization, quantitative bounds on possible hidden classical correlations, and an explanation of how the observed violation itself certifies the absence of shared randomness in the semi-device-independent setting. revision: yes
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Referee: [Results and discussion] The variational triangular polarimeter is presented as realizing the necessary POVMs for the targeted advantage, but no quantitative error analysis, fidelity metrics, or robustness checks against misalignment are reported that would confirm the measurements achieve the quantum strategy with sufficient precision to exceed the classical bound.
Authors: We accept this observation. The current manuscript presents the experimental implementation but does not include the requested quantitative metrics. In the revised version we will add fidelity estimates for the realized POVMs, statistical uncertainties on the measured payoffs, and a robustness analysis against misalignment to demonstrate that the quantum advantage is achieved with sufficient experimental precision. revision: yes
Circularity Check
No circularity: experimental demonstration with no derivation chain
full rationale
The paper reports an experimental implementation using a photonic processor and a variational triangular polarimeter to realize POVMs for bipartite games, claiming quantum advantage without shared randomness. No mathematical derivation, parameter fitting, or theoretical chain is presented that reduces a claimed prediction or result to its own inputs by construction. The no-go theorems cited (Holevo, Frenkel-Weiner) are external references, and the central claim rests on experimental isolation rather than any self-referential definition or self-citation load-bearing step. This is a standard experimental result with no identifiable circularity patterns.
Axiom & Free-Parameter Ledger
axioms (1)
- standard math Standard quantum mechanics and measurement theory apply to the photonic system.
Reference graph
Works this paper leans on
-
[1]
J. P. Dowling and G. J. Milburn; Quantum technology: the second quantum revolution, Philos. Trans. Royal Soc. A 361, 1655 (2003)
work page 2003
-
[2]
I. H. Deutsch; Harnessing the Power of the Second Quantum Revolution, PRX Quantum1, 020101 (2020)
work page 2020
- [3]
-
[4]
Aspect; The Second Quantum Revolution: From Basic Concepts to Quantum Technologies, Wiley (2023)
A. Aspect; The Second Quantum Revolution: From Basic Concepts to Quantum Technologies, Wiley (2023)
work page 2023
-
[5]
H.-L. Huang, X.-Y. Xu, C. Guo, G. Tian, S.-J. Wei, X. Sun, W.-S. Bao, G.-L. Long; Near-term quantum com- puting techniques: Variational quantum algorithms, er- ror mitigation, circuit compilation, benchmarking and classical simulation, Sci. China Phys. Mech. Astron.66, 250302 (2023)
work page 2023
-
[6]
N. Gisin and R. Thew; Quantum communication, Nature Photon. 1, 165 (2007)
work page 2007
-
[7]
Ground-to-satellite quantum teleportation, Nature 549, 70 (2017)
JG Ren et al. Ground-to-satellite quantum teleportation, Nature 549, 70 (2017)
work page 2017
- [8]
-
[9]
V. Giovannetti, S. Lloyd, and L. Maccone; Advances in quantum metrology, Nature Photon.5, 222 (2011)
work page 2011
- [10]
- [11]
-
[12]
P. Kok, W. J. Munro, K. Nemoto, T. C. Ralph, J. P. Dowling, and G. J. Milburn, Linear optical quantum computing with photonic qubits, Rev. Mod. Phys.79, 135 (2007)
work page 2007
-
[13]
T. D. Ladd, F. Jelezko, R. Laflamme, Y. Nakamura, C. Monroe, and J. L. O’Brien; Quantum computers, Nature 464, 45 (2010)
work page 2010
-
[14]
Quantum computational advantage using photons, Science 370, 1460 (2020)
H-S Zhonget al. Quantum computational advantage using photons, Science 370, 1460 (2020)
work page 2020
-
[15]
R. K. Patra, S. G. Naik, E. P. Lobo, S. Sen, T. Guha, S.S. Bhattacharya, M. Alimuddin, and M. Banik; Classical analogue of quantum superdense coding and communica- tion advantage of a single quantum system, Quantum8, 1315 (2024)
work page 2024
-
[16]
Barrett; Information processing in generalized probab- ilistic theories, Phys
J. Barrett; Information processing in generalized probab- ilistic theories, Phys. Rev. A75, 032304 (2007)
work page 2007
-
[17]
P. Janotta, C. Gogolin, J. Barrett, and N. Brunner; Limits on nonlocal correlations from the structure of the local state space, New J. Phys.13, 063024 (2011)
work page 2011
-
[18]
P. Janotta and H. Hinrichsen; Generalized probability the- ories: what determines the structure of quantum theory? J. Phys. A: Math. Theor.47, 323001 (2014)
work page 2014
-
[19]
N. Brunner, M. Kaplan, A. Leverrier and P. Skrzypczyk; Dimension of physical systems, information processing, and thermodynamics, New J. Phys.16, 123050 (2014)
work page 2014
- [20]
-
[21]
S. S. Bhattacharya, S. Saha, T. Guha, and M. Banik; Nonlocality without entanglement: Quantum theory and beyond, Phys. Rev. Research2, 012068(R) (2020)
work page 2020
-
[22]
A. S. Holevo; Bounds for the Quantity of Information Transmitted by a Quantum Communication Channel, Probl. Inf. Transm.9, 177 (1973)
work page 1973
-
[23]
P. E. Frenkel and M. Weiner; Classical information storage in ann-level quantum system, Comm. Math. Phys.340, 563 (2015)
work page 2015
-
[24]
M. Dall’Arno, S. Brandsen, A. Tosini, F. Buscemi, and V. Vedral; No-Hypersignaling Principle, Phys. Rev. Lett. 119, 020401 (2017)
work page 2017
-
[25]
S. G. Naik, E. P. Lobo, S. Sen, R. K. Patra, M. Alimuddin, 6 T. Guha, S. S. Bhattacharya, and M. Banik; Composi- tion of Multipartite Quantum Systems: Perspective from Timelike Paradigm, Phys. Rev. Lett.128, 140401 (2022)
work page 2022
-
[26]
S. Sen, E. P. Lobo, R. K. Patra, S. G. Naik, M. Alimuddin, A. D. Bhowmik, and M. Banik; Timelike correlations and quantum tensor product structure, Phys. Rev. A106, 062406 (2022)
work page 2022
-
[27]
R.K.Patra, S.G.Naik, E.P.Lobo, S.Sen, G.L.Sidhardh, M. Alimuddin, and M. Banik; Principle of Information Causality Rationalizes Quantum Composition, Phys. Rev. Lett. 130, 110202 (2023)
work page 2023
-
[28]
The restaurant game was introduced in [15]. However, our current work introduces a cryptographic dimension to the game, where Alice and Bob aim to execute their strategy while maintaining privacy from an adversary. This enhancement provides a more compelling rationale for treating shared randomness between Alice and Bob as a costly resource. While [15] de...
-
[29]
It also contains an additional reference [65]
See supplemental at https://—–/—-, which provides de- tailed theoretical set-up and contains experimental details. It also contains an additional reference [65]
-
[30]
R. Simon and N. Mukunda; Minimal three-component SU(2) gadget for polarization optics, Phys. Lett. A143, 165 (1990)
work page 1990
-
[31]
Z. Hou, H. Zhu, and G.-Y. Xiang; Error-compensation measurements on polarization qubits, J. Opt. Soc. Am. B 33, 1256 (2016)
work page 2016
-
[32]
A. Ling, K. P. Soh, A. Lamas-Linares, and C. Kurtsiefer; Experimental polarization state tomography using op- timal polarimeters, Phys. Rew. A 74, 022309 (2006)
work page 2006
-
[33]
Jefferson Flórez, Nathan J. Carlson, Codey H. Nacke, Lambert Giner, Jeff S. Lundeen; A variable partially polarizingbeamsplitter, Rev.Sci.Instrum. 89(2): 023108 (2018)
work page 2018
-
[34]
C.A.Fuchs; DistinguishabilityandAccessibleInformation in Quantum Theory, Ph.D. thesis, Univ. of New Mexico, (1996)
work page 1996
-
[35]
A. Streltsov, G. Adesso, and M. B. Plenio; Colloquium: Quantum coherence as a resource, Rev. Mod. Phys.89, 041003 (2017)
work page 2017
-
[36]
C.H. Bennett and G. Brassard; Quantum cryptography: Public key distribution and coin tossing, Theor. Comput. Sci. 560, 7 (2014)
work page 2014
-
[37]
C. H. Bennett, G. Brassard, and N. D. Mermin; Quantum cryptography without Bell’s theorem, Phys. Rev. Lett. 68, 557 (1992)
work page 1992
-
[38]
V. Scarani; The device-independent outlook on quantum physics (lecture notes on the power of Bell’s the- orem), Acta Physica Slovaca 62, 347 (2012) (see also arXiv:1303.3081 [quant-ph])
work page internal anchor Pith review Pith/arXiv arXiv 2012
-
[39]
A. Tavakoli, M. Smania, T. Vértesi, N. Brunner, and M. Bourennane; Self-testing non-projective quantum meas- urements in prepare-and-measure experiments, Science Advances 6, 16 (2020)
work page 2020
-
[40]
Z. Ma, M. Rambach, K. Goswami, S. S. Bhattacharya, M. Banik, and J. Romero; Randomness-Free Test of Non- classicality: A Proof of Concept, Phys. Rev. Lett.131, 130201 (2023)
work page 2023
-
[41]
Y. Wang,etal.; Characterising the correlations of prepare- and-measure quantum networks, npj Quantum Inf.5, 17 (2019)
work page 2019
-
[42]
R. Ahlswede and I. Csiszar; Common randomness in information theory and cryptography. I. Secret sharing, IEEE Trans. Inf. Theory39, 1121 (1993)
work page 1993
-
[43]
U. Vazirani and T. Vidick; Fully Device-Independent Quantum Key Distribution, Phys. Rev. Lett.113, 140501 (2014)
work page 2014
-
[44]
R. J. Aumann; Correlated equilibrium as an expression of bayesian rationality, Econometrica55, 1 (1987)
work page 1987
-
[45]
L. Babai and P. G. Kimmel; Randomized simultaneous messages: solution of a problem of Yao in communication complexity; Proc. Compu. Complexity. 20th Annual IEEE Conference (1997)
work page 1997
-
[46]
C. L. Canonne, V. Guruswami, R. Meka, and M. Su- dan; Communication with imperfectly shared randomness, IEEE Trans. Inf. Theory63, 6799 (2017)
work page 2017
-
[47]
B. F. Toner and D. Bacon; Communication cost of sim- ulating bell correlations, Phys. Rev. Lett. 91, 187904 (2003)
work page 2003
- [48]
-
[49]
A. Roy, A. Mukherjee, T. Guha, S. Ghosh, S. S. Bhat- tacharya, and M. Banik; Nonlocal correlations: Fair and unfair strategies in Bayesian games, Phys. Rev. A94, 032120 (2016)
work page 2016
- [50]
-
[51]
T. Guha, M. Alimuddin, S. Rout, A. Mukherjee, S. S. Bhattacharya, and M. Banik; Quantum Advantage for Shared Randomness Generation, Quantum5, 569 (2021)
work page 2021
-
[52]
A. Banerjee, P. Bej, A. Mukherjee, S. G. Naik, M. Alimud- din, M. Banik; When Mei-Gu Guan’s 1960 postmen get empowered with Bell’s 1964 nonlocal correlations: Non- local advantage in vehicle routing problem, APL Quantum 1, 036105 (2024)
work page 1960
-
[53]
T. Heinosaari, O. Kerppo, L. Leppäjärvi, and M. Plávala; Simple Information Processing Tasks with Unbounded Quantum Advantage, Phys. Rev. A109, 032627 (2024)
work page 2024
-
[54]
C. H. Bennett and S. J. Wiesner; Communication via one- and two-particle operators on Einstein-Podolsky-Rosen states, Phys. Rev. Lett.69, 2881 (1992)
work page 1992
- [55]
-
[56]
T. Schaetz, M. D. Barrett, D. Leibfried, J. Chiaverini, J. Britton, W. M. Itano, J. D. Jost, C. Langer, and D. J. Wineland; Quantum Dense Coding with Atomic Qubits, Phys. Rev. Lett.93, 040505 (2004)
work page 2004
-
[57]
B. P. Williams, R. J. Sadlier, and T. S. Humble; Super- dense Coding over Optical Fiber Links with Complete Bell-State Measurements, Phys. Rev. Lett.118, 050501 (2017)
work page 2017
-
[58]
H. Buhrman, R. Cleve, J. Watrous, and R. de Wolf; Quantum Fingerprinting, Phys. Rev. Lett.87, 167902 (2001)
work page 2001
-
[59]
R. W. Spekkens, D. H. Buzacott, A. J. Keehn, B. Toner, andG.J.Pryde; PreparationContextualityPowersParity- 7 Oblivious Multiplexing, Phys. Rev. Lett. 102, 010401 (2009)
work page 2009
-
[60]
A. Ambainis, M. Banik, A. Chaturvedi, D. Kravchenko, and A. Rai; Parity oblivious d-level random access codes and class of noncontextuality inequalities, Quan. Inf. Pro- cessing 18, 111 (2019)
work page 2019
-
[61]
Q. Liu, T. J. Elliott, F. C. Binder, C. Di Franco, and M. Gu; Optimal stochastic modeling with unitary quantum dynamics, Phys. Rev. A99, 062110 (2019)
work page 2019
-
[62]
T. J. Elliott, C. Yang, F. C. Binder, A. J. P. Garner, J. Thompson, and M. Gu; Extreme Dimensionality Re- duction with Quantum Modeling, Phys. Rev. Lett.125, 260501 (2020)
work page 2020
-
[63]
T. J. Elliott; Quantum Coarse Graining for Extreme Dimension Reduction in Modeling Stochastic Temporal Dynamics, PRX Quantum2, 020342 (2021)
work page 2021
-
[64]
KD Wu, C. Yang, RD He, M. Gu, GY Xiang, CF Li, GC Guo, and T. J. Elliott; Implementing quantum dimension- ality reduction for non-Markovian stochastic simulation, Nat. Commun. 14, 2624 (2023)
work page 2023
-
[65]
Quantum Advantage: A Single Qubit's Experimental Edge in Classical Data Storage
P. E. Frenkel and M. Weiner; On entanglement assistance to a noiseless classical channel, Quantum6, 662 (2022). Supplemental Material for “Quantum Advantage: A Single Qubit’s Experimental Edge in Classical Data Storage” I. THEORETICAL ANALYSIS FOR THE QUANTUM AND CLASSICAL STRATEGIES PLA YING 3-RESTAURANT GAMES A. Elementary communication scenario In the ...
work page internal anchor Pith review Pith/arXiv arXiv 2022
-
[66]
Classical achievable game space for three - Restaurant game In the context of the three-restaurant game, when Alice is restricted to communicating only 1 bit, the most general strategies can be described as follows: – If the i-th restaurant is closed, Alice will communicate a bit 0 with probability αi and a bit 1 with probability 1−αi. – Upon receiving th...
-
[67]
Quantum achievable game space In this general case, to satisfy condition (h 1), Alice must select pure states for encoding. She communicates (through a noiseless qubit channel) the state|ψ i⟩to Bob when the ith restaurant is closed. In order to fulfill condition (h1), Bob needs to perform a decoding measurement represented byM = { αi|ψ⊥ i⟩⟨ψ⊥ i||αi > 0 & ...
-
[68]
( 22) Then, f (⃗x2, ⃗y1) < f (⃗x2, ⃗y2) + δ 2, ( 23) < f (⃗x1, ⃗y1), ( 24) which is contradictory to the fact that min ⃗x f (⃗x, ⃗y1) = f (⃗x1, ⃗y1). II. EXPERIMENTAL IMPLEMENTATION DETAILS A. The single-qubit photon source Laser pulses with a central wavelength of 390 nm, pulse duration of 150 fs, and repetition rate of 80 MHz pass through a half-wave pl...
-
[69]
When the ith restaurant is closed, Alice sends Bob the message j∈{1, 2,···, d}with probability pA(j|ic)
-
[70]
Upon receiving message j, Bob visits the kth restaurant with probability pB(kb|j). The probability p(kb|ic) of Bob visiting the kth restaurant when the ith restaurant is closed is then given by p(kb|ic) = ∑ j pA(j|ic)pB(kb|j). We recall thatE is defined as, E := max j { k1 ∑ i p(ib|ic), k2|γ j−pj| } , ( 42) 10 where k1 and k2 are given constants that depe...
-
[71]
A. S. Holevo; Bounds for the Quantity of Information Transmitted by a Quantum Communication Channel, Probl. Inf. Transm. 9, 177 (1973)
work page 1973
-
[72]
P . E. Frenkel and M. Weiner; Classical information storage in an n-level quantum system, Comm. Math. Phys. 340, 563 (2015)
work page 2015
-
[73]
C. H. Bennett and S. J. Wiesner; Communication via one- and two-particle operators on Einstein-Podolsky-Rosen states, Phys. Rev. Lett. 69, 2881 (1992)
work page 1992
-
[74]
P . E. Frenkel and M. Weiner; On entanglement assistance to a noiseless classical channel, Quantum 6, 662 (2022)
work page 2022
-
[75]
R. K. Patra, S. G. Naik, E. P . Lobo, S. Sen, T. Guha, S.S. Bhattacharya, M. Alimuddin, and M. Banik; Classical analogue of quantum superdense coding and communication advantage of a single quantum system, Quantum 8, 1315 (2024)
work page 2024
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