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We calculate and analyze the bounds of the Holevo capacity and classical capacity for the generalized Pauli channels. In particular, we obtain the lower and upper bounds of the Holevo capacity and show that if these bounds coincide, the…

量子物理 · 物理学 2020-10-28 Katarzyna Siudzińska

Optimally encoding classical information in a quantum system is one of the oldest and most fundamental challenges of quantum information theory. Holevo's bound places a hard upper limit on such encodings, while the…

量子物理 · 物理学 2020-05-28 Dawei Ding , Hrant Gharibyan , Patrick Hayden , Michael Walter

We study quantum channels that are close to another channel with weakly additive Holevo information and derive upper bounds on their classical capacity. Examples of channels with weakly additive Holevo information are entanglement-breaking…

量子物理 · 物理学 2020-08-25 Felix Leditzky , Eneet Kaur , Nilanjana Datta , Mark M. Wilde

A quantum clock must satisfy two basic constraints. The first is a bound on the time resolution of the clock given by the difference between its maximum and minimum energy eigenvalues. The second follows from Holevo's bound on how much…

量子物理 · 物理学 2009-10-31 V. Buzek , R. Derka , S. Massar

We introduce various measures of forward classical communication for bipartite quantum channels. Since a point-to-point channel is a special case of a bipartite channel, the measures reduce to measures of classical communication for…

量子物理 · 物理学 2023-04-25 Dawei Ding , Sumeet Khatri , Yihui Quek , Peter W. Shor , Xin Wang , Mark M. Wilde

A fully general strong converse for channel coding states that when the rate of sending classical information exceeds the capacity of a quantum channel, the probability of correctly decoding goes to zero exponentially in the number of…

量子物理 · 物理学 2013-05-29 Robert Koenig , Stephanie Wehner

Here, we study the capacity of a quantum channel, assuming linear optical encoding, as a function of available photons and optical modes. First, we observe that substantial improvement is made possible by not restricting ourselves to a…

量子物理 · 物理学 2015-08-12 Jake A. Smith , Dmitry B. Uskov , Lev Kaplan

We analyze the evolution of Holevo and entanglement-assisted classical capacities for a special class of phase-covariant channels. In particular, we show that these capacities can be improved by changing the stationary state of the channel,…

量子物理 · 物理学 2023-05-24 Katarzyna Siudzińska

We consider a nontrivial class of infinite dimensional quantum channels characterized by finiteness of the Holevo capacity. Some general properties of channels of this class are described. In particular, a special sufficient condition of…

量子物理 · 物理学 2008-12-17 M. E. Shirokov

When classical information is sent over a channel with quantum-state modulation alphabet, such as the free-space optical (FSO) channel, attaining the ultimate (Holevo) limit to channel capacity requires the receiver to make joint…

量子物理 · 物理学 2016-11-18 Saikat Guha , Zachary Dutton , Jeffrey H. Shapiro

We consider a setting where a stream of qubits is processed sequentially. We derive fundamental limits on the rate at which classical information can be transmitted using qubits that decohere as they wait to be processed. Specifically, we…

信息论 · 计算机科学 2020-08-11 Prabha Mandayam , Krishna Jagannathan , Avhishek Chatterjee

We study non-asymptotic fundamental limits for transmitting classical information over memoryless quantum channels, i.e. we investigate the amount of classical information that can be transmitted when a quantum channel is used a finite…

量子物理 · 物理学 2015-05-20 Marco Tomamichel , Vincent Y. F. Tan

We determine the capacity of compound classical-quantum channels. As a consequence we obtain the capacity formula for the averaged classical-quantum channels. The capacity result for compound channels demonstrates, as in the classical…

量子物理 · 物理学 2009-02-16 Igor Bjelakovic , Holger Boche

A model of quantum noisy channel with input encoding by a classical random vector is described. An equation of optimality is derived to determine a complete set of wave functions describing quantum decodings based on quasi-measurements…

量子物理 · 物理学 2007-05-23 V. P. Belavkin , R. L. Stratonovich

Given a quantum Markovian noise model, we study the maximum dimension of a classical or quantum system that can be stored for arbitrarily large time. We show that, unlike the fixed time setting, in the limit of infinite time, the classical…

量子物理 · 物理学 2025-02-27 Omar Fawzi , Mizanur Rahaman , Mostafa Taheri

When classical information is sent over a quantum channel, attaining the ultimate limit to channel capacity requires the receiver to make joint measurements over long codeword blocks. For a pure-state channel, we construct a receiver that…

量子物理 · 物理学 2015-03-17 Saikat Guha

We investigate how special relativity influences the transmission of classical information through quantum channels by evaluating the Holevo bound when the sender and the receiver are in (relativistic) relative motion. By using the spin…

量子物理 · 物理学 2016-02-24 Andre G. S. Landulfo , Adriano C. Torres

We give the trade-off curve showing the capacity of a quantum channel as a function of the amount of entanglement used by the sender and receiver for transmitting information. The endpoints of this curve are given by the…

量子物理 · 物理学 2007-05-23 Peter W. Shor

If two identical copies of a completely depolarizing channel are put into a superposition of their possible causal orders, they can transmit non-zero classical information. Here, we study how well we can transmit classical information with…

量子物理 · 物理学 2021-06-23 Sk Sazim , Michal Sedlak , Kratveer Singh , Arun Kumar Pati

Determining whether a noisy quantum channel can be used to reliably transmit quantum information at a non-zero rate is a challenging problem in quantum information theory. This is because it requires computation of the channel's coherent…

量子物理 · 物理学 2024-10-24 Satvik Singh , Nilanjana Datta