Entanglement gain in measurements with unknown results
We characterize nonselective global projective measurements capable of increasing quantum entanglement between two particles. In particular, by choosing negativity to quantify entanglement, we show that entanglement of any pure nonmaximally entangled state can be improved in this way (but not of any...
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sg-ntu-dr.10356-1005602023-02-28T19:38:29Z Entanglement gain in measurements with unknown results Zuppardo, Margherita Ganardi, Ray Miller, Marek Bandyopadhyay, Somshubhro Paterek, Tomasz School of Physical and Mathematical Sciences MajuLab, CNRS-UCA-SU-NUS-NTU International Joint Research Unit Entanglement Manipulation Entanglement Production DRNTU::Science::Physics We characterize nonselective global projective measurements capable of increasing quantum entanglement between two particles. In particular, by choosing negativity to quantify entanglement, we show that entanglement of any pure nonmaximally entangled state can be improved in this way (but not of any mixed state) and we provide detailed analysis for two qubits. It is then shown that Markovian open system dynamics can only approximate such measurements, but this approximation converges exponentially fast as illustrated using the Araki-Żurek model. We conclude with numerical evidence that macroscopic bodies in a random pure state do not gain negativity in a random nonselective global measurement. MOE (Min. of Education, S’pore) Published version 2019-06-06T08:22:23Z 2019-12-06T20:24:28Z 2019-06-06T08:22:23Z 2019-12-06T20:24:28Z 2019 Journal Article Zuppardo, M., Ganardi, R., Miller, M., Bandyopadhyay, S., & Paterek, T. (2019). Entanglement gain in measurements with unknown results. Physical Review A, 99(4), 042319-. doi:10.1103/PhysRevA.99.042319 2469-9926 https://hdl.handle.net/10356/100560 http://hdl.handle.net/10220/48580 10.1103/PhysRevA.99.042319 en Physical Review A © 2019 American Physical Society. All rights reserved. This paper was published in Physical Review A and is made available with permission of American Physical Society. 8 p. application/pdf |
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Entanglement Manipulation Entanglement Production DRNTU::Science::Physics Zuppardo, Margherita Ganardi, Ray Miller, Marek Bandyopadhyay, Somshubhro Paterek, Tomasz Entanglement gain in measurements with unknown results |
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We characterize nonselective global projective measurements capable of increasing quantum entanglement between two particles. In particular, by choosing negativity to quantify entanglement, we show that entanglement of any pure nonmaximally entangled state can be improved in this way (but not of any mixed state) and we provide detailed analysis for two qubits. It is then shown that Markovian open system dynamics can only approximate such measurements, but this approximation converges exponentially fast as illustrated using the Araki-Żurek model. We conclude with numerical evidence that macroscopic bodies in a random pure state do not gain negativity in a random nonselective global measurement. |
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School of Physical and Mathematical Sciences |
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School of Physical and Mathematical Sciences Zuppardo, Margherita Ganardi, Ray Miller, Marek Bandyopadhyay, Somshubhro Paterek, Tomasz |
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Article |
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Zuppardo, Margherita Ganardi, Ray Miller, Marek Bandyopadhyay, Somshubhro Paterek, Tomasz |
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Zuppardo, Margherita |
title |
Entanglement gain in measurements with unknown results |
title_short |
Entanglement gain in measurements with unknown results |
title_full |
Entanglement gain in measurements with unknown results |
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Entanglement gain in measurements with unknown results |
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Entanglement gain in measurements with unknown results |
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entanglement gain in measurements with unknown results |
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2019 |
url |
https://hdl.handle.net/10356/100560 http://hdl.handle.net/10220/48580 |
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