A limit formula for the quantum fidelity

Gaetana Spedalieri; Christian Weedbrook; Stefano Pirandola

doi:10.1088/1751-8113/46/2/025304

A limit formula for the quantum fidelity

Gaetana Spedalieri^*, Christian Weedbrook, Stefano Pirandola

^*Corresponding author for this work

Computer Science

Research output: Contribution to journal › Article › peer-review

Abstract

Quantum fidelity is a central tool in quantum information, quantifying how much two quantum states are similar. By using the notion of generalized overlap, which occurs in the definition of the quantum Chernoff bound, we propose here a limit formula for the quantum fidelity between a mixed state and a pure state. As an example of an application, we apply this formula to the case of multimode Gaussian states, achieving a simple expression in terms of their first- and second-order statistical moments.

Original language	English
Article number	ARTN 025304
Journal	Journal of Physics A: Mathematical and Theoretical
Volume	46
Issue number	2
DOIs	https://doi.org/10.1088/1751-8113/46/2/025304
Publication status	Published - 18 Jan 2013

Keywords

SYSTEMS
STATES
TELEPORTATION
OSCILLATOR
CONTINUOUS-VARIABLES
CLONING

Access to Document

10.1088/1751-8113/46/2/025304

Cite this

@article{096e4ed7341e4f70b68982e178c1a4de,

title = "A limit formula for the quantum fidelity",

abstract = "Quantum fidelity is a central tool in quantum information, quantifying how much two quantum states are similar. By using the notion of generalized overlap, which occurs in the definition of the quantum Chernoff bound, we propose here a limit formula for the quantum fidelity between a mixed state and a pure state. As an example of an application, we apply this formula to the case of multimode Gaussian states, achieving a simple expression in terms of their first- and second-order statistical moments.",

keywords = "SYSTEMS, STATES, TELEPORTATION, OSCILLATOR, CONTINUOUS-VARIABLES, CLONING",

author = "Gaetana Spedalieri and Christian Weedbrook and Stefano Pirandola",

year = "2013",

month = jan,

day = "18",

doi = "10.1088/1751-8113/46/2/025304",

language = "English",

volume = "46",

journal = "Journal of Physics A: Mathematical and Theoretical",

issn = "1751-8113",

publisher = "IOP Publishing",

number = "2",

}

TY - JOUR

T1 - A limit formula for the quantum fidelity

AU - Spedalieri, Gaetana

AU - Weedbrook, Christian

AU - Pirandola, Stefano

PY - 2013/1/18

Y1 - 2013/1/18

N2 - Quantum fidelity is a central tool in quantum information, quantifying how much two quantum states are similar. By using the notion of generalized overlap, which occurs in the definition of the quantum Chernoff bound, we propose here a limit formula for the quantum fidelity between a mixed state and a pure state. As an example of an application, we apply this formula to the case of multimode Gaussian states, achieving a simple expression in terms of their first- and second-order statistical moments.

AB - Quantum fidelity is a central tool in quantum information, quantifying how much two quantum states are similar. By using the notion of generalized overlap, which occurs in the definition of the quantum Chernoff bound, we propose here a limit formula for the quantum fidelity between a mixed state and a pure state. As an example of an application, we apply this formula to the case of multimode Gaussian states, achieving a simple expression in terms of their first- and second-order statistical moments.

KW - SYSTEMS

KW - STATES

KW - TELEPORTATION

KW - OSCILLATOR

KW - CONTINUOUS-VARIABLES

KW - CLONING

UR - http://www.scopus.com/inward/record.url?scp=84871187139&partnerID=8YFLogxK

U2 - 10.1088/1751-8113/46/2/025304

DO - 10.1088/1751-8113/46/2/025304

M3 - Article

SN - 1751-8113

VL - 46

JO - Journal of Physics A: Mathematical and Theoretical

JF - Journal of Physics A: Mathematical and Theoretical

IS - 2

M1 - ARTN 025304

ER -

A limit formula for the quantum fidelity

Abstract

Keywords

Access to Document

Other files and links

Cite this