Simple procedure for phase-space measurement and entanglement validation

It has recently been shown that it is possible to represent the complete quantum state of any system as a phase-space quasiprobability distribution (Wigner function) [Phys. Rev. Lett. 117, 180401 (2016)]. Such functions take the form of expectation values of an observable that has a direct analogy t...

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Main Authors:	Russell Rundle, P.W. Mills, Todd Tilma, John Samson, Mark Everitt
Format:	Default Article
Published:	2017
Subjects:	Mechanical engineering not elsewhere classified untagged Mechanical Engineering not elsewhere classified
Online Access:	https://hdl.handle.net/2134/26195
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id	rr-article-9409946
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spelling	rr-article-94099462017-01-01T00:00:00Z Simple procedure for phase-space measurement and entanglement validation Russell Rundle (3393185) P.W. Mills (7171868) Todd Tilma (7161989) John Samson (1251294) Mark Everitt (1250502) Mechanical engineering not elsewhere classified untagged Mechanical Engineering not elsewhere classified It has recently been shown that it is possible to represent the complete quantum state of any system as a phase-space quasiprobability distribution (Wigner function) [Phys. Rev. Lett. 117, 180401 (2016)]. Such functions take the form of expectation values of an observable that has a direct analogy to displaced parity operators. In this work we give a procedure for the measurement of the Wigner function that should be applicable to any quantum system. We have applied our procedure to IBM's Quantum Experience five-qubit quantum processor to demonstrate that we can measure and generate the Wigner functions of two different Bell states as well as the five-qubit Greenberger–Horne–Zeilinger state. Because Wigner functions for spin systems are not unique, we define, compare, and contrast two distinct examples. We show how the use of these Wigner functions leads to an optimal method for quantum state analysis especially in the situation where specific characteristic features are of particular interest (such as for spin Schrödinger cat states). Furthermore we show that this analysis leads to straightforward, and potentially very efficient, entanglement test and state characterization methods. 2017-01-01T00:00:00Z Text Journal contribution 2134/26195 https://figshare.com/articles/journal_contribution/Simple_procedure_for_phase-space_measurement_and_entanglement_validation/9409946 CC BY 4.0
institution	Loughborough University
collection	Figshare
topic	Mechanical engineering not elsewhere classified untagged Mechanical Engineering not elsewhere classified
spellingShingle	Mechanical engineering not elsewhere classified untagged Mechanical Engineering not elsewhere classified Russell Rundle P.W. Mills Todd Tilma John Samson Mark Everitt Simple procedure for phase-space measurement and entanglement validation
description	It has recently been shown that it is possible to represent the complete quantum state of any system as a phase-space quasiprobability distribution (Wigner function) [Phys. Rev. Lett. 117, 180401 (2016)]. Such functions take the form of expectation values of an observable that has a direct analogy to displaced parity operators. In this work we give a procedure for the measurement of the Wigner function that should be applicable to any quantum system. We have applied our procedure to IBM's Quantum Experience five-qubit quantum processor to demonstrate that we can measure and generate the Wigner functions of two different Bell states as well as the five-qubit Greenberger–Horne–Zeilinger state. Because Wigner functions for spin systems are not unique, we define, compare, and contrast two distinct examples. We show how the use of these Wigner functions leads to an optimal method for quantum state analysis especially in the situation where specific characteristic features are of particular interest (such as for spin Schrödinger cat states). Furthermore we show that this analysis leads to straightforward, and potentially very efficient, entanglement test and state characterization methods.
format	Default Article
author	Russell Rundle P.W. Mills Todd Tilma John Samson Mark Everitt
author_facet	Russell Rundle P.W. Mills Todd Tilma John Samson Mark Everitt
author_sort	Russell Rundle (3393185)
title	Simple procedure for phase-space measurement and entanglement validation
title_short	Simple procedure for phase-space measurement and entanglement validation
title_full	Simple procedure for phase-space measurement and entanglement validation
title_fullStr	Simple procedure for phase-space measurement and entanglement validation
title_full_unstemmed	Simple procedure for phase-space measurement and entanglement validation
title_sort	simple procedure for phase-space measurement and entanglement validation
publishDate	2017
url	https://hdl.handle.net/2134/26195
_version_	1797827371108139008

Simple procedure for phase-space measurement and entanglement validation

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