Solution to time-energy costs of quantum channels

Chi Hang Fred Fung; H. F. Chau; Chi Kwong Li; Nung Sing Sze

Solution to time-energy costs of quantum channels

Chi Hang Fred Fung, H. F. Chau, Chi Kwong Li, Nung Sing Sze

Research output: Journal article publication › Journal article › Academic research › peer-review

Abstract

ï¿½ Rinton Press. We derive a formula for the time-energy costs of general quantum channels proposed in [Phys. Rev. A 88, 012307 (2013)]. This formula allows us to numerically find the time-energy cost of any quantum channel using positive semidefinite programming. We also derive a lower bound to the time-energy cost for any channels and the exact the time-energy cost for a class of channels which includes the qudit depolarizing channels and projector channels as special cases.

Original language	English
Pages (from-to)	685-693
Number of pages	9
Journal	Quantum Information and Computation
Volume	15
Issue number	7-8
Publication status	Published - 1 Jan 2015

Keywords

Fidelity
Quantum channel
Time-energy cost

ASJC Scopus subject areas

Theoretical Computer Science
Statistical and Nonlinear Physics
Nuclear and High Energy Physics
Mathematical Physics
General Physics and Astronomy
Computational Theory and Mathematics

Cite this

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title = "Solution to time-energy costs of quantum channels",

abstract = "{\"i}¿½ Rinton Press. We derive a formula for the time-energy costs of general quantum channels proposed in [Phys. Rev. A 88, 012307 (2013)]. This formula allows us to numerically find the time-energy cost of any quantum channel using positive semidefinite programming. We also derive a lower bound to the time-energy cost for any channels and the exact the time-energy cost for a class of channels which includes the qudit depolarizing channels and projector channels as special cases.",

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T1 - Solution to time-energy costs of quantum channels

AU - Fung, Chi Hang Fred

AU - Chau, H. F.

AU - Li, Chi Kwong

AU - Sze, Nung Sing

PY - 2015/1/1

Y1 - 2015/1/1

N2 - ï¿½ Rinton Press. We derive a formula for the time-energy costs of general quantum channels proposed in [Phys. Rev. A 88, 012307 (2013)]. This formula allows us to numerically find the time-energy cost of any quantum channel using positive semidefinite programming. We also derive a lower bound to the time-energy cost for any channels and the exact the time-energy cost for a class of channels which includes the qudit depolarizing channels and projector channels as special cases.

AB - ï¿½ Rinton Press. We derive a formula for the time-energy costs of general quantum channels proposed in [Phys. Rev. A 88, 012307 (2013)]. This formula allows us to numerically find the time-energy cost of any quantum channel using positive semidefinite programming. We also derive a lower bound to the time-energy cost for any channels and the exact the time-energy cost for a class of channels which includes the qudit depolarizing channels and projector channels as special cases.

KW - Fidelity

KW - Quantum channel

KW - Time-energy cost

UR - https://www.scopus.com/pages/publications/84921945139

M3 - Journal article

SN - 1533-7146

VL - 15

SP - 685

EP - 693

JO - Quantum Information and Computation

JF - Quantum Information and Computation

IS - 7-8

ER -

Solution to time-energy costs of quantum channels

Abstract

Keywords

ASJC Scopus subject areas

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