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Optimal squeezing and entanglement from noisy Gaussian operations

Quantum Physics · Submitted 19 May 2005

abstract compiled · 2026-09-23 · no language-model review

The authors' main claim Both single and repeated uses of the device are optimized analytically and it is proven that in the latter case the squeezing converges exponentially fast to its asymptotic optimum, which we determine explicitly.

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arXiv IDquant-ph/0505145 (version 2)
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CitationJ.I. Cirac, M.M. Wolf, N. Schuch. "Optimal squeezing and entanglement from noisy Gaussian operations." arXiv:quant-ph/0505145 (2005). https://pith.science/paper/RDYKPIIF
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We investigate the creation of squeezing via operations subject to noise and losses and ask for the optimal use of such devices when supplemented by noiseless passive operations. Both single and repeated uses of the device are optimized analytically and it is proven that in the latter case the squeezing converges exponentially fast to its asymptotic optimum, which we determine explicitly. For the case of multiple iterations we show that the optimum can be achieved with fixed intermediate passive operations. Finally, we relate the results to the generation of entanglement and derive the maximal two-mode entanglement achievable within the considered scenario.

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#sentencerolethe authors' own workstates the main conclusionstrength
s0 We investigate the creation of squeezing via operations subject to noise and losses and ask for the optimal use of such devices when supplemented by noiseless passive operations. contribution 0.83 0.75 0.07 asserted 0.55
s1 Both single and repeated uses of the device are optimized analytically and it is proven that in the latter case the squeezing converges exponentially fast to its asymptotic optimum, which we determine explicitly. result 0.81 0.95 0.30 asserted 1.00
s2 For the case of multiple iterations we show that the optimum can be achieved with fixed intermediate passive operations. result 0.95 0.94 0.16 asserted 1.00
s3 Finally, we relate the results to the generation of entanglement and derive the maximal two-mode entanglement achievable within the considered scenario. result 0.80 0.95 0.23 asserted 1.00

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Original abstract

We investigate the creation of squeezing via operations subject to noise and losses and ask for the optimal use of such devices when supplemented by noiseless passive operations. Both single and repeated uses of the device are optimized analytically and it is proven that in the latter case the squeezing converges exponentially fast to its asymptotic optimum, which we determine explicitly. For the case of multiple iterations we show that the optimum can be achieved with fixed intermediate passive operations. Finally, we relate the results to the generation of entanglement and derive the maximal two-mode entanglement achievable within the considered scenario.

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