Pure Gaussian states from quantum harmonic oscillator chains with a single local dissipative process

Ian R. Petersen; Matthew J. Woolley; Naoki Yamamoto; Shan Ma

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Pure Gaussian states from quantum harmonic oscillator chains with a single local dissipative process

Shan Ma, Matthew J. Woolley, Ian R. Petersen, Naoki Yamamoto

Quantum Physics · Submitted 2 Nov 2016

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The authors' main claim We then completely parametrize the class of $(2\aleph+1)$-mode pure Gaussian states that can be prepared by this type of quantum harmonic oscillator chain.

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arXiv ID1611.00726 (version 1)

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CitationIan R. Petersen, Matthew J. Woolley, Naoki Yamamoto, Shan Ma. "Pure Gaussian states from quantum harmonic oscillator chains with a single local dissipative process." arXiv:1611.00726 (2016). https://pith.science/paper/BSNPSMQH

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What the abstract itself states, as probabilities: claims first 0.03 · states limitation 0.12 · human participants 0.01 · controlled comparison 0.02 · randomized assignment 0.01 · states quantitative result 0.11 · compares with prior results 0.04 · mentions code or data availability 0.02.

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We study the preparation of entangled pure Gaussian states via reservoir engineering. In particular, we consider a chain consisting of $(2\aleph+1)$ quantum harmonic oscillators where the central oscillator of the chain is coupled to a single reservoir. We then completely parametrize the class of $(2\aleph+1)$-mode pure Gaussian states that can be prepared by this type of quantum harmonic oscillator chain. This parametrization allows us to determine the steady-state entanglement properties of such quantum harmonic oscillator chains.

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#	sentence	role	the authors' own work	states the main conclusion	strength
s0	We study the preparation of entangled pure Gaussian states via reservoir engineering.	contribution 0.98	0.82	0.15	asserted 0.75
s1	In particular, we consider a chain consisting of $(2\aleph+1)$ quantum harmonic oscillators where the central oscillator of the chain is coupled to a single reservoir.	method 0.83	0.37	0.05	asserted 0.96
s2	We then completely parametrize the class of $(2\aleph+1)$-mode pure Gaussian states that can be prepared by this type of quantum harmonic oscillator chain.	contribution 0.79	0.95	0.27	asserted 1.00
s3	This parametrization allows us to determine the steady-state entanglement properties of such quantum harmonic oscillator chains.	result 0.61	0.90	0.28	asserted 0.99

What kind of paper the classifier reports this is: theoretical result 0.99 · evidence from proof or derivation 1.00.

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Original abstract

We study the preparation of entangled pure Gaussian states via reservoir engineering. In particular, we consider a chain consisting of $(2\aleph+1)$ quantum harmonic oscillators where the central oscillator of the chain is coupled to a single reservoir. We then completely parametrize the class of $(2\aleph+1)$-mode pure Gaussian states that can be prepared by this type of quantum harmonic oscillator chain. This parametrization allows us to determine the steady-state entanglement properties of such quantum harmonic oscillator chains.

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It is worth remarking that although in this paper, we only consider the case where the chain has an odd number of quantum harmonic oscillators, the method developed here can be easily extended to handle the case where the number of the oscillators is even, as we have previously done in [ref] .

Linear quantum systems with diagonal passive Hamiltonian and a single dissipative channel · Introduction · 0.94
It is worth remarking that although in this paper, we only consider the case where the chain has an odd number of quantum harmonic oscillators, the method developed here can be easily extended to handle the case where the number of the oscillators is even, as we have previously done in [ref] .

Pure Gaussian quantum states from passive Hamiltonians and an active local dissipative process · Introduction · 0.94

Uses the method or tool of 1 paper

According to Lemma 6 in [ref] , it suffices to show that $(R̆_22,1, [ 0_(ℵ-1) ×1; 1 ]$) and $(R̆_22,2, [ 1; 0_(ℵ-1) ×1 ]$) are both controllable and that $R̆_22,1$ and $R̆_22,2$ have no common eigenvalues.

Pure Gaussian quantum states from passive Hamiltonians and an active local dissipative process · Constraints · 0.87

Cites as background 3 papers

In the infinite-dimensional case, the problem of preparing a pure Gaussian state via reservoir engineering has recently been explored in [ref] .

Linear quantum systems with diagonal passive Hamiltonian and a single dissipative channel · Introduction · 0.85
In the infinite-dimensional case, the problem of preparing a pure Gaussian state via reservoir engineering has recently been explored in [ref] .

Cascade and locally dissipative realizations of linear quantum systems for pure Gaussian state covariance assignment · Introduction · 0.85
In future work, it would be interesting to investigate the steady-state entanglement properties in such quantum harmonic oscillator chains, complementing the work on the entanglement area law developed in [ref] .

Noise-driven quantum criticality · Conclusion · 0.86

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