Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Log inSign up
Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Blog
Job Board
Q3AS

© 2026 Aqora Quantum S.A.S.

TermsPrivacyLegal Notice

Optics and Spectroscopy

Discrimination of quantum states with linear optics and continuous photon counting

Masahiro Takeoka

Published Sep 1, 2005• 2 citations
Publisher

Abstract

We investigate a systematic method of implementation of given measurements with linear optics and continuous measurement. We revisit the so-called Dolinar receiver, which is a quasi-physical model attaining the minimum error discrimination of binary coherent states, and show that it can be derived without heuristic assumptions. Our approach also can be applied to various kinds of measurements.

DOI
10.1134/1.2055937

Related papers

Quantum State Discrimination with Linear Optics and Continuous Measurement

Masahiro Takeoka

We investigate the possibility of implementing a given measurement using linear optics and continuous measurement. In particular, we revisit the so‐called Dolinar receiver, a quasi‐physical model attaining the minimum error discrimination of binary coherent states, to give an alternative derivation for the optimal discrimination scheme. Our approach is rather simple and can be applied to various kinds of measurements such as projection measurements in the regime of photonic‐qubit signals.

AIP conference proceedings•Jan 1, 2004•0 citations

Design of POVMs with linear optics and continuous measurement

Masahiro Takeoka, Masahide Sasaki, Peter van Loock

We investigate the possibility of implementing a given measurement using linear optics and continuous measurement. In particular, we revisit the so-called Dolinar receiver, a quasi-physical model attaining the minimum error discrimination of binary coherent states, to give an alternative derivation for the optimal discrimination scheme. Our approach is rather simple and can be applied to various kinds of measurements such as projection measurements in the regime of photonic-qubit signals.

Proceedings of SPIE, the International Society for Optical Engineering/Proceedings of SPIE•Jan 11, 2005•4 citations

Implementation of projective measurements with linear optics and continuous photon counting

Masahiro Takeoka, Masahide Sasaki, Peter van Loock +1 more

We investigate the possibility of implementing a given projection measurement using linear optics and arbitrarily fast feedforward based on the continuous detection of photons. In particular, we systematically derive the so-called Dolinar scheme that achieves the minimum-error discrimination of binary coherent states. Moreover, we show that the Dolinar-type approach can also be applied to projection measurements in the regime of photonic-qubit signals. Our results demonstrate that for implementing a projection measurement with linear optics, in principle, unit success probability may be approached even without the use of expensive entangled auxiliary states, as they are needed in all known (near-)deterministic linear-optics proposals.

arXiv:quant-ph/0410133•Physical Review A•Feb 23, 2005•60 citations

Optimal discrimination of optical coherent states cannot always be realized by interfering with coherent light, photon counting, and feedback

Kenji Nakahira, Kentaro Kato, Tsuyoshi Sasaki Usuda

A method is developed to analyze the performance of sequential measurements, thus providing a way to benchmark various optical receivers. In particular, it is proved that a Dolinar-like receiver cannot realize a ``minimum error quantum measurement'' when dealing with ternary coherent states.

arXiv:1706.02125•Physical Review A•Feb 14, 2018•12 citations

Agnostic Dolinar receiver for coherent-state classification

Fabio Zoratti, Nicola Dalla Pozza, Marco Fanizza +1 more

We consider the problem of discriminating quantum states, where the task is to distinguish two different quantum states with a complete classical knowledge about them, and the problem of classifying quantum states, where the task is to distinguish two classes of quantum states where no prior classical information is available but a finite number of physical copies of each class is given. In the case the quantum states are represented by coherent states of light, we identify intermediate scenarios where partial prior information is available. We evaluate an analytical expression for the minimum error when the quantum states are opposite and a prior on the amplitudes is known. Such a threshold is attained by complex positive operator-valued measurements that involve a highly nonlinear optical procedure. A suboptimal procedure that can be implemented with current technology is presented that is based on a modification of the conventional Dolinar receiver. We study and compare the performance of the scheme under different assumptions on the prior information available.

arXiv:2106.11909•Physical Review A•Oct 12, 2021•9 citations

Binary Projective Measurement via Linear Optics and Photon Counting

Masahiro Takeoka, Masahide Sasaki, Norbert Lütkenhaus

We investigate the implementation of binary projective measurements with linear optics. This problem can be viewed as a single-shot discrimination of two orthogonal pure quantum states. We show that any two orthogonal states can be perfectly discriminated using only linear optics, photon counting, coherent ancillary states, and feedforward. The statement holds in the asymptotic limit of a large number of these physical resources.

arXiv:quant-ph/0603074•Physical Review Letters•Jul 26, 2006•44 citations
We investigate a systematic method of implementation of given measurements with linear optics and continuous measurement. We revisit the so-called Dolinar receiver, which is a quasi-physical model attaining the minimum error discrimination of binary coherent states, and show that it can be derived without heuristic assumptions. Our approach also can be applied to various kinds of measurements.
We investigate the possibility of implementing a given projection measurement using linear optics and arbitrarily fast feedforward based on the continuous detection of photons. In particular, we systematically derive the so-called Dolinar scheme that achieves the minimum-error discrimination of binary coherent states. Moreover, we show that the Dolinar-type approach can also be applied to projection measurements in the regime of photonic-qubit signals. Our results demonstrate that for implementing a projection measurement with linear optics, in principle, unit success probability may be approached even without the use of expensive entangled auxiliary states, as they are needed in all known (near-)deterministic linear-optics proposals.
We consider the problem of discriminating quantum states, where the task is to distinguish two different quantum states with a complete classical knowledge about them, and the problem of classifying quantum states, where the task is to distinguish two classes of quantum states where no prior classical information is available but a finite number of physical copies of each class is given. In the case the quantum states are represented by coherent states of light, we identify intermediate scenarios where partial prior information is available. We evaluate an analytical expression for the minimum error when the quantum states are opposite and a prior on the amplitudes is known. Such a threshold is attained by complex positive operator-valued measurements that involve a highly nonlinear optical procedure. A suboptimal procedure that can be implemented with current technology is presented that is based on a modification of the conventional Dolinar receiver. We study and compare the performance of the scheme under different assumptions on the prior information available.