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High dimensional Hilbert spaces used for quantum communication channels offer the possibility of large data transmission capabilities. We propose a method of characterizing the channel capacity of an entangled photonic state in high…

Quantum Physics · Physics 2013-05-30 P. Ben Dixon , Gregory A. Howland , James Schneeloch , John C. Howell

The quantum advantage of dense coding is studied, considering general encoding quantum operations. Particular attention is devoted to the case of many senders, and it is shown that restrictions on the possible operations on the senders'…

Quantum Physics · Physics 2015-06-26 M. Horodecki , M. Piani

The continuous quadratures of a single mode of the light field present a promising avenue to encode quantum information. By virtue of the infinite dimensionality of the associated Hilbert space, quantum states of these continuous variables…

Quantum Physics · Physics 2023-01-24 Ian Tillman , Thirupathaiah Vasantam , Kaushik P. Seshadreesan

Dense coding or super-dense coding in the case of high-dimension quantum states between two parties and multi-parties has been studied in this paper. We construct explicitly the measurement basis and the forms of the single-body unitary…

Quantum Physics · Physics 2009-11-07 X. S. Liu , G. L. Long , D. M. Tong , F. Li

We determine the optimal rates of universal quantum codes for entanglement transmission and generation under channel uncertainty. In the simplest scenario the sender and receiver are provided merely with the information that the channel…

Quantum Physics · Physics 2015-05-13 I. Bjelakovic , H. Boche , J. Noetzel

We investigate a quantum coding for quantum communication over a PD (partially degradable) degradable quantum channel. For a PD channel, the degraded environment state can be expressed from the channel output state up to a degrading map. PD…

Quantum Physics · Physics 2016-11-18 Laszlo Gyongyosi

We present an improved version of a quantum amplitude encoding scheme that encodes the $N$ entries of a unit classical vector $\vec{v}=(v_1,..,v_N)$ into the amplitudes of a quantum state. Our approach has a quadratic speed-up with respect…

Quantum Physics · Physics 2025-04-01 Vittorio Pagni , Sigurd Huber , Michael Epping , Michael Felderer

The quantum capacity of a noisy quantum channel determines the maximal rate at which we can code reliably over asymptotically many uses of the channel, and it characterizes the channel's ultimate ability to transmit quantum information…

Quantum Physics · Physics 2021-10-26 Xin Wang

Compound channel models offer a simple and straightforward way of analyzing the stability of decoder design under model variations. With this work we provide a coding theorem for a large class of practically relevant compound channel…

Information Theory · Computer Science 2021-05-11 Andrea Cacioppo , Janis Nötzel , Matteo Rosati

Entanglement offers substantial advantages in quantum information processing, but loss and noise hinder its applications in practical scenarios. Although it has been well known for decades that the classical communication capacity over…

Quantum Physics · Physics 2020-03-16 Haowei Shi , Zheshen Zhang , Quntao Zhuang

The training of deep neural networks (DNNs) always requires intensive resources for both computation and data storage. Thus, DNNs cannot be efficiently applied to mobile phones and embedded devices, which severely limits their applicability…

Computer Vision and Pattern Recognition · Computer Science 2021-06-21 Qigong Sun , Xiufang Li , Fanhua Shang , Hongying Liu , Kang Yang , Licheng Jiao , Zhouchen Lin

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…

Quantum Physics · Physics 2013-05-29 Robert Koenig , Stephanie Wehner

We construct a theory for long-distance quantum communication based on sharing entanglement through a linear chain of $N$ elementary swapping segments of length~$L=Nl$ where $l$ is the length of each elementary swap setup. Entanglement…

Quantum Physics · Physics 2014-02-12 Aeysha Khalique , Wolfgang Tittel , Barry C. Sanders

Optimal dense coding using a partially-entangled pure state of Schmidt rank $\bar D$ and a noiseless quantum channel of dimension $D$ is studied both in the deterministic case where at most $L_d$ messages can be transmitted with perfect…

Quantum Physics · Physics 2007-05-23 Shengjun Wu , Scott M. Cohen , Yuqing Sun , Robert B. Griffiths

If a sender and a receiver lack precise knowledge about the communication line that connects them, designing a scheme to reliably transmit information becomes more challenging. This has been studied in classical and quantum information…

Quantum Physics · Physics 2024-08-27 Paula Belzig

In analogy with its classical counterpart, a noisy quantum channel is characterized by a loss, a quantity that depends on the channel input and the quantum operation performed by the channel. The loss reflects the transmission quality: if…

Quantum Physics · Physics 2011-07-19 Nicolas J. Cerf

Combining the technique of employing coset codes for communicating over a quantum broadcast channel and the recent discovery of tilting, smoothing and augmentation by Sen to perform simultaneous decoding over network quantum channels, we…

Information Theory · Computer Science 2026-02-09 Fatma Gouiaa , Arun Padakandla

We discuss a scheme for a full superdense coding of entangled photon states employing only linear-optics elements. By using the mixed basis consisting of four states that are unambiguously distinguishable by a standard and polarizing beam…

Quantum Physics · Physics 2011-12-30 Mladen Pavicic

The training of deep neural networks (DNNs) requires intensive resources both for computation and for storage performance. Thus, DNNs cannot be efficiently applied to mobile phones and embedded devices, which seriously limits their…

Computer Vision and Pattern Recognition · Computer Science 2019-06-03 Qigong Sun , Fanhua Shang , Kang Yang , Xiufang Li , Yan Ren , Licheng Jiao

We prove a theorem for coding mixed-state quantum signals. For a class of coding schemes, the von Neumann entropy $S$ of the density operator describing an ensemble of mixed quantum signal states is shown to be equal to the number of…

Quantum Physics · Physics 2015-06-26 Hoi-Kwong Lo
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