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Given a quantum channel and a state which satisfy a fixed point equation approximately (say, up to an error $\varepsilon$), can one find a new channel and a state, which are respectively close to the original ones, such that they satisfy an…

量子物理 · 物理学 2024-05-03 Robert Salzmann , Bjarne Bergh , Nilanjana Datta

We study commitment scheme for classical-quantum channels. To accomplish this we define various notions of commitment capacity for these channels and prove matching upper and lower bound on it in terms of the conditional entropy. Our…

信息论 · 计算机科学 2022-05-06 Masahito Hayashi , Naqueeb Ahmad Warsi

In a quantum measurement process, classical information about the measured system spreads throughout the environment. Meanwhile, quantum information about the system becomes inaccessible to local observers. Here we prove a result about…

量子物理 · 物理学 2021-09-29 Xiao-Liang Qi , Daniel Ranard

The one-shot success probability of a noisy classical channel for transmitting one classical bit is the optimal probability with which the bit can be sent via a single use of the channel. Prevedel et al. (PRL 106, 110505 (2011)) recently…

量子物理 · 物理学 2013-06-05 Brett Hemenway , Carl A. Miller , Yaoyun Shi , Mary Wootters

It is proved that there exist subspaces of bipartite tensor product spaces that have no orthonormal bases that can be perfectly distinguished by means of LOCC protocols. A corollary of this fact is that there exist quantum channels having…

量子物理 · 物理学 2013-05-29 John Watrous

The unique and often-weird properties of quantum mechanics allow an information carrier to propagate through multiple trajectories of quantum channels simultaneously. This ultimately leads us to quantum trajectories with an indefinite…

量子物理 · 物理学 2021-10-22 Daryus Chandra , Marcello Caleffi , Angela Sara Cacciapuoti

We consider the scenario of communicating on a $3\mhyphen$user classical-quantum broadcast channel. We undertake an information theoretic study and focus on the problem of characterizing an inner bound to its capacity region. We design a…

信息论 · 计算机科学 2025-03-14 Fatma Gouiaa , Arun Padakandla

Quantum information science strives to leverage the quantum-mechanical nature of our universe in order to achieve large improvements in certain information processing tasks. In deep-space optical communications, current receivers for the…

量子物理 · 物理学 2020-04-16 Narayanan Rengaswamy

Capacity of a quantum channel characterizes the limits of reliable communication through a noisy quantum channel. This fundamental information theoretic question is very well studied specially in the setting of many independent uses of the…

量子物理 · 物理学 2019-03-19 Anurag Anshu , Rahul Jain , Naqueeb Ahmad Warsi

I present a simple two-party quantum communication complexity protocol with higher success rate than the best possible classical protocol for the same task. The quantum protocol is shown to be equivalent to a quantum non-locality test,…

量子物理 · 物理学 2007-05-23 Ernesto F. Galvao

Spatial separation restricts the set of locally implementable quantum operations on distributed multipartite quantum systems. We propose that indefinite causal structure arising due to quantum superposition of different space-time…

量子物理 · 物理学 2023-02-21 Pratik Ghosal , Arkaprabha Ghosal , Debarshi Das , Ananda G. Maity

Contextuality - the obstruction to describing quantum mechanics in a classical statistical way - has been proposed as a resource that powers quantum computing. The measurement-based model provides a concrete manifestation of contextuality…

量子物理 · 物理学 2018-10-12 Markus Frembs , Sam Roberts , Stephen D. Bartlett

Quantum entanglement is a crucial resource for learning properties from nature, but a precise characterization of its advantage can be challenging. In this work, we consider learning algorithms without entanglement to be those that only…

量子物理 · 物理学 2024-10-21 Senrui Chen , Changhun Oh , Sisi Zhou , Hsin-Yuan Huang , Liang Jiang

A multiple access channel describes a situation in which multiple senders are trying to forward messages to a single receiver using some physical medium. In this paper we consider scenarios in which this medium consists of just a single…

量子物理 · 物理学 2022-03-09 Yujie Zhang , Xinan Chen , Eric Chitambar

A locally decodable code encodes n-bit strings x in m-bit codewords C(x), in such a way that one can recover any bit x_i from a corrupted codeword by querying only a few bits of that word. We use a quantum argument to prove that LDCs with 2…

量子物理 · 物理学 2007-05-23 Iordanis Kerenidis , Ronald de Wolf

We study relaxations of entanglement-assisted quantum channel coding and establish that non-signaling assistance and a natural semi-definite programming relaxation\, -- \,termed meta-converse\, -- \,are equivalent in terms of success…

量子物理 · 物理学 2025-10-08 Aadil Oufkir , Mario Berta

Entangled inputs can enhance the capacity of quantum channels, this being one of the consequences of the celebrated result showing the non-additivity of several quantities relevant for quantum information science. In this work, we answer…

量子物理 · 物理学 2015-05-20 Fernando G. S. L. Brandao , Jens Eisert , Michal Horodecki , Dong Yang

Quantum coherence is a fundamental aspect of quantum physics and plays a central role in quantum information science. This essential property of the quantum states could be fragile under the influence of the quantum operations. The extent…

量子物理 · 物理学 2018-10-18 Fereshte Shahbeigi , Seyed Javad Akhtarshenas

The problem of minimizing the maximum of $N$ convex, Lipschitz functions plays significant roles in optimization and machine learning. It has a series of results, with the most recent one requiring $O(N\epsilon^{-2/3} + \epsilon^{-8/3})$…

量子物理 · 物理学 2024-02-21 Hao Wang , Chenyi Zhang , Tongyang Li

Understanding multipartite entanglement is a key goal in quantum information. Entanglement in pure states can be characterised by considering transformations under Local Operations assisted by Classical Communication (LOCC). However, it has…

量子物理 · 物理学 2024-03-06 David Gunn , Martin Hebenstreit , Cornelia Spee , Julio I. de Vicente , Barbara Kraus