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Binary quantum information can be fault tolerantly encoded in states defined in infinite dimensional Hilbert spaces. Such states define a computational basis, and permit a perfect equivalence between continuous and discrete universal…

Quantum Physics · Physics 2016-09-13 A. Ketterer , A. Keller , S. P. Walborn , T. Coudreau , P. Milman

We consider the problem of compression of the quantum information carried by ensemble of mixed states. We prove that for arbitrary coding schemes the least number of qubits needed to convey the signal states asymptotically faithfully is…

Quantum Physics · Physics 2009-10-30 Michal Horodecki

I derive a universal upper bound on the capacity of any communication channel between two distant systems. The Holevo quantity, and hence the mutual information, is at most of order $E \Delta t / \hbar$, where $E$ is the average energy of…

High Energy Physics - Theory · Physics 2017-10-11 Raphael Bousso

The quantum capacity of a memoryless channel is often used as a single figure of merit to characterize its ability to transmit quantum information coherently. The capacity determines the maximal rate at which we can code reliably over…

Quantum Physics · Physics 2016-05-10 Marco Tomamichel , Mario Berta , Joseph M. Renes

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…

Quantum Physics · Physics 2020-08-25 Felix Leditzky , Eneet Kaur , Nilanjana Datta , Mark M. Wilde

The information carrying capacity of the d-dimensional depolarizing channel is computed. It is shown that this capacity can be achieved by encoding messages as products of pure states belonging to an orthonormal basis of the state space,…

Quantum Physics · Physics 2007-05-23 C. King

Coherent generation of indistinguishable single photons is crucial for many quantum communication and processing protocols. Solid-state realizations of two-level atomic transitions or three-level spin-$\Lambda$ systems offer significant…

Mesoscale and Nanoscale Physics · Physics 2019-12-03 Zhe-Xian Koong , Dale Scerri , Markus Rambach , Ted S. Santana , Suk-In Park , Jin D. Song , Erik M. Gauger , Brian D. Gerardot

In the Hilbert space of a quantum particle the standard coherent-state resolution of unity is written in terms of a phase-space integration of the outer product $|z\rangle \langle z|$. Because no pair of coherent states is orthogonal, one…

Quantum Physics · Physics 2016-03-28 Fernando Parisio

We derive the general structure of noiseless subsystems for optical radiation contained in a sequence of pulses undergoing collective depolarization in an optical fiber. This result is used to identify optimal ways to implement quantum…

Quantum Physics · Physics 2016-09-08 Jonathan L. Ball , Konrad Banaszek

Light in which the quantum fluctuations have been squeezed is often proposed as a means of obtaining an improved phase reference compared to that available from coherent light. Such a phase reference contains information about the phase of…

Quantum Physics · Physics 2007-05-23 P. Kinsler

Emergence of objective, classical properties in quantum systems can be described in the modern language of quantum information theory. In this work, we present an example of such an analysis. We apply the quantum channel theory to a…

Quantum Physics · Physics 2024-12-03 Tae-Hun Lee , Jarosław K. Korbicz

We investigated the preservation of information encoded into the relative phase and amplitudes of optical pulses during storage and retrieval in an optical memory based on stimulated photon echo. By interfering photon echoes produced in a…

We pose a problem called ``broadcasting Holevo-information'': given an unknown state taken from an ensemble, the task is to generate a bipartite state transfering as much Holevo-information to each copy as possible. We argue that upper…

Quantum Physics · Physics 2013-05-29 Dominik Janzing , Bastian Steudel

The binary (one-bit-per-photon) encoding that most existing quantum key distribution (QKD) protocols employ puts a fundamental limit on their achievable key rates, especially under high channel loss conditions associated with long-distance…

Encoding quantum information in photonic time-bin states is typically considered impractical for moving free-space quantum communication due to the difficulties with phase stabilization of distant quantum time-bin interferometers and…

We propose a multidimensional quantum information encoding approach based on temporal modulation of single photons, where the Hilbert space can be spanned by an in-principle infinite set of orthonormal temporal profiles. We analyze two…

Quantum Physics · Physics 2013-01-03 Alex Hayat , Xingxing Xing , Amir Feizpour , Aephraim M. Steinberg

We start with Fannes' type and Winter's type tight continuity bounds for the quantum conditional mutual information and their specifications for states of special types. Then we analyse continuity of the Holevo quantity with respect to…

Quantum Physics · Physics 2017-10-18 M. E. Shirokov

A Holevo measure is used to discuss how much information about a given POVM on system $a$ is present in another system $b$, and how this influences the presence or absence of information about a different POVM on $a$ in a third system $c$.…

Quantum Physics · Physics 2013-05-29 Patrick J. Coles , Li Yu , Vlad Gheorghiu , Robert B. Griffiths

We analyze the information efficiency of a deep-space optical communication link with background noise employing the pulse position modulation (PPM) format and a direct-detection receiver based on Geiger-mode photon counting. The…

Quantum Physics · Physics 2018-09-25 Wojciech Zwoliński , Marcin Jarzyna , Konrad Banaszek

We consider a communication scenario where classical information is encoded in an ensemble of quantum states that admit a power series expansion in a cost parameter and with the vanishing cost converge to a single zero-cost state. For a…

Quantum Physics · Physics 2020-04-15 Ludwig Kunz , Marcin Jarzyna , Wojciech Zwolinski , Konrad Banaszek