Quantum retrodiction

John Jeffers; Daniel K.L. Oi; Thomas Brougham

doi:10.1098/rsta.2023.0338

Quantum retrodiction

John Jeffers^*, Daniel K.L. Oi, Thomas Brougham

^*Corresponding author for this work

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

4 Downloads (Pure)

Abstract

Quantum retrodiction, in which the state of a quantum system prior to a measurement is assigned based on the results of that measurement, has had a long history and has been used in quantum optics research for decades. Here we summarize the theory and point out some of the more interesting results, before applying the theory to state identification from multiple shots of an experiment. One surprising result is that we show that a photodetector with low quantum efficiency can discriminate between photonic states better than a detector with a higher efficiency.

Original language	English
Article number	20230338
Number of pages	15
Journal	Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences
Volume	382
Issue number	2287
Early online date	24 Dec 2024
DOIs	https://doi.org/10.1098/rsta.2023.0338
Publication status	Published - 30 Dec 2024

Funding

The authors would like to acknowledge financial support from the the UK National Quantum Technology Programme from the QuantIC Quantum Imaging Hub (Grant No. EP/T00097X/1) and the QComm Quantum Communications Hub (Grant No. EP/T001011/1).

Keywords

retrodiction
detection
measurement

Access to Document

10.1098/rsta.2023.0338Licence: CC BY 4.0

Jeffers-etal-PTRSA-2024-Quantum-retrodictionFinal published version, 629 KBLicence: CC BY 4.0

Cite this

@article{81f9608646ca48af87a284687e80bed7,

title = "Quantum retrodiction",

abstract = "Quantum retrodiction, in which the state of a quantum system prior to a measurement is assigned based on the results of that measurement, has had a long history and has been used in quantum optics research for decades. Here we summarize the theory and point out some of the more interesting results, before applying the theory to state identification from multiple shots of an experiment. One surprising result is that we show that a photodetector with low quantum efficiency can discriminate between photonic states better than a detector with a higher efficiency.",

keywords = "retrodiction, detection, measurement",

author = "John Jeffers and Oi, {Daniel K.L.} and Thomas Brougham",

year = "2024",

month = dec,

day = "30",

doi = "10.1098/rsta.2023.0338",

language = "English",

volume = "382",

journal = "Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences",

issn = "1364-5021",

publisher = "Royal Society Publishing",

number = "2287",

}

TY - JOUR

T1 - Quantum retrodiction

AU - Jeffers, John

AU - Oi, Daniel K.L.

AU - Brougham, Thomas

PY - 2024/12/30

Y1 - 2024/12/30

N2 - Quantum retrodiction, in which the state of a quantum system prior to a measurement is assigned based on the results of that measurement, has had a long history and has been used in quantum optics research for decades. Here we summarize the theory and point out some of the more interesting results, before applying the theory to state identification from multiple shots of an experiment. One surprising result is that we show that a photodetector with low quantum efficiency can discriminate between photonic states better than a detector with a higher efficiency.

AB - Quantum retrodiction, in which the state of a quantum system prior to a measurement is assigned based on the results of that measurement, has had a long history and has been used in quantum optics research for decades. Here we summarize the theory and point out some of the more interesting results, before applying the theory to state identification from multiple shots of an experiment. One surprising result is that we show that a photodetector with low quantum efficiency can discriminate between photonic states better than a detector with a higher efficiency.

KW - retrodiction

KW - detection

KW - measurement

U2 - 10.1098/rsta.2023.0338

DO - 10.1098/rsta.2023.0338

M3 - Article

SN - 1364-5021

VL - 382

JO - Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences

JF - Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences

IS - 2287

M1 - 20230338

ER -

Quantum retrodiction

Abstract

Funding

Keywords

Access to Document

Fingerprint

Cite this