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

Fidelity and the communication of quantum information

Barnett, S M, Gilson, C R, Sasaki, M

Published Jul 5, 2001• 13 citations
OpenAlex

Abstract

We compare and contrast the error probability and fidelity as measures of the quality of the receiver's measurement strategy for a quantum communications system. The error probability is a measure of the ability to retrieve classical information and the fidelity measures the retrieval of quantum information. We present the optimal measurement strategies for maximizing the fidelity given a source that encodes information on the symmetric qubit-states.

Related papers

Fidelity and the communication of quantum information

Stephen M Barnett, Claire R Gilson, Masahide Sasaki

We compare and contrast the error probability and fidelity as measures of the quality of the receiver's measurement strategy for a quantum communications system. The error probability is a measure of the ability to retrieve classical information and the fidelity measures the retrieval of quantum information. We present the optimal measurement strategies for maximizing the fidelity given a source that encodes information on the symmetric qubit-states.

arXiv:quant-ph/0107024•Journal of Physics A Mathematical and General•Aug 24, 2001•14 citations

Quantum Networking: Information Encoding and Decoding Strategies

Jincheng Zhang

This paper investigates optimal information encoding and decoding strategies within quantum networks. The core aim is to enhance information transmission efficiency and security by leveraging principles from information theory and quantum information theory. We analyze various encoding and decoding schemes, quantifying their performance using key metrics such as channel capacity and quantum bit error rate (QBER). This work focuses on identifying strategies that maximize the fidelity of quantum information transfer, considering the inherent challenges posed by quantum noise and decoherence. The proposed strategies incorporate adaptive coding techniques and error correction protocols tailored to specific network topologies and noise characteristics. Ultimately, this research contributes to the development of more robust and efficient quantum networks, a critical component of future quantum communication systems.

•Aug 31, 2026•0 citations

Maximum fidelity for a mirror symmetric set of qubit states

Kieran Hunter, Erika Andersson, Claire R Gilson +1 more

In this paper we address the problem of optimal reconstruction of a quantum state from the result of a single measurement, when the original quantum state is known to be a member of some specified set. This process provides both classical information about the state and a reproduction of that state. A suitable figure of merit for this process is the fidelity, which is the probability that the state we construct on the basis of the measurement result is found by a subsequent test to match the original state. We consider the maximization of the fidelity for a mirror symmetric set of three pure qubit states, but find that our results are more generally applicable. In contrast to previous examples, we find that the strategy which minimizes the probability of erroneously identifying the state does not generally maximize the fidelity.

Journal of Physics A Mathematical and General•Mar 27, 2003•2 citations

Maximum Fidelity Retransmission of Mirror Symmetric Qubit States

Kieran Hunter, Erika Andersson, Claire R Gilson +1 more

In this paper we address the problem of optimal reconstruction of a quantum state from the result of a single measurement when the original quantum state is known to be a member of some specified set. A suitable figure of merit for this process is the fidelity, which is the probability that the state we construct on the basis of the measurement result is found by a subsequent test to match the original state. We consider the maximisation of the fidelity for a set of three mirror symmetric qubit states. In contrast to previous examples, we find that the strategy which minimises the probability of erroneously identifying the state does not generally maximise the fidelity.

arXiv:quant-ph/0209138•Sep 25, 2002•0 citations

Communicating through Probabilities: Does Quantum Theory Optimize the Transfer of Information?

William K. Wootters

A quantum measurement can be regarded as a communication channel, in which the parameters of the state are expressed only in the probabilities of the outcomes of the measurement. We begin this paper by considering, in a non-quantum-mechanical setting, the problem of communicating through probabilities. For example, a sender, Alice, wants to convey to a receiver, Bob, the value of a continuous variable, θ, but her only means of conveying this value is by sending Bob a coin in which the value of θ is encoded in the probability of heads. We ask what the optimal encoding is when Bob will be allowed to flip the coin only a finite number of times. As the number of tosses goes to infinity, we find that the optimal encoding is the same as what nature would do if we lived in a world governed by real-vector-space quantum theory. We then ask whether the problem might be modified, so that the optimal communication strategy would be consistent with standard, complex-vector-space quantum theory.

Entropy•Aug 2, 2013•11 citations

Optimal Encoding of Classical Information in a Quantum Medium

Noam Elron, Yonina C. Eldar

We investigate optimal encoding and retrieval of digital data, when the storage/communication medium is described by quantum mechanics. We assume an m-ary alphabet with arbitrary prior distribution, and an n-dimensional quantum system. Under these constraints, we seek an encoding-retrieval setup, comprised of code-states and a quantum measurement, which maximizes the probability of correct detection. In our development, we consider two cases. In the first, the measurement is predefined and we seek the optimal code-states. In the second, optimization is performed on both the code-states and the measurement. We show that one cannot outperform "pseudo-classical transmission," in which we transmit n symbols with orthogonal code-states, and discard the remaining symbols. However, such pseudo-classical transmission is not the only optimum. We fully characterize the collection of optimal setups, and briefly discuss the links between our findings and applications such as quantum key distribution and quantum computing

arXiv:quant-ph/0601010•IEEE Transactions on Information Theory•May 1, 2007•20 citations
We compare and contrast the error probability and fidelity as measures of the quality of the receiver's measurement strategy for a quantum communications system. The error probability is a measure of the ability to retrieve classical information and the fidelity measures the retrieval of quantum information. We present the optimal measurement strategies for maximizing the fidelity given a source that encodes information on the symmetric qubit-states.
This paper investigates optimal information encoding and decoding strategies within quantum networks. The core aim is to enhance information transmission efficiency and security by leveraging principles from information theory and quantum information theory. We analyze various encoding and decoding schemes, quantifying their performance using key metrics such as channel capacity and quantum bit error rate (QBER). This work focuses on identifying strategies that maximize the fidelity of quantum information transfer, considering the inherent challenges posed by quantum noise and decoherence. The proposed strategies incorporate adaptive coding techniques and error correction protocols tailored to specific network topologies and noise characteristics. Ultimately, this research contributes to the development of more robust and efficient quantum networks, a critical component of future quantum communication systems.
In this paper we address the problem of optimal reconstruction of a quantum state from the result of a single measurement, when the original quantum state is known to be a member of some specified set. This process provides both classical information about the state and a reproduction of that state. A suitable figure of merit for this process is the fidelity, which is the probability that the state we construct on the basis of the measurement result is found by a subsequent test to match the original state. We consider the maximization of the fidelity for a mirror symmetric set of three pure qubit states, but find that our results are more generally applicable. In contrast to previous examples, we find that the strategy which minimizes the probability of erroneously identifying the state does not generally maximize the fidelity.
In this paper we address the problem of optimal reconstruction of a quantum state from the result of a single measurement when the original quantum state is known to be a member of some specified set. A suitable figure of merit for this process is the fidelity, which is the probability that the state we construct on the basis of the measurement result is found by a subsequent test to match the original state. We consider the maximisation of the fidelity for a set of three mirror symmetric qubit states. In contrast to previous examples, we find that the strategy which minimises the probability of erroneously identifying the state does not generally maximise the fidelity.
A quantum measurement can be regarded as a communication channel, in which the parameters of the state are expressed only in the probabilities of the outcomes of the measurement. We begin this paper by considering, in a non-quantum-mechanical setting, the problem of communicating through probabilities. For example, a sender, Alice, wants to convey to a receiver, Bob, the value of a continuous variable, θ, but her only means of conveying this value is by sending Bob a coin in which the value of θ is encoded in the probability of heads. We ask what the optimal encoding is when Bob will be allowed to flip the coin only a finite number of times. As the number of tosses goes to infinity, we find that the optimal encoding is the same as what nature would do if we lived in a world governed by real-vector-space quantum theory. We then ask whether the problem might be modified, so that the optimal communication strategy would be consistent with standard, complex-vector-space quantum theory.
We investigate optimal encoding and retrieval of digital data, when the storage/communication medium is described by quantum mechanics. We assume an m-ary alphabet with arbitrary prior distribution, and an n-dimensional quantum system. Under these constraints, we seek an encoding-retrieval setup, comprised of code-states and a quantum measurement, which maximizes the probability of correct detection. In our development, we consider two cases. In the first, the measurement is predefined and we seek the optimal code-states. In the second, optimization is performed on both the code-states and the measurement. We show that one cannot outperform "pseudo-classical transmission," in which we transmit n symbols with orthogonal code-states, and discard the remaining symbols. However, such pseudo-classical transmission is not the only optimum. We fully characterize the collection of optimal setups, and briefly discuss the links between our findings and applications such as quantum key distribution and quantum computing