English
Related papers

Related papers: Certifying the Classical Simulation Cost of a Quan…

200 papers

We study the problem of simulating protocols in a quantum communication setting over noisy channels. This problem falls at the intersection of quantum information theory and quantum communication complexity, and it will be of importance for…

Quantum Physics · Physics 2019-06-12 Gilles Brassard , Ashwin Nayak , Alain Tapp , Dave Touchette , Falk Unger

We investigate the amount of communication that must augment classical local hidden variable models in order to simulate the behaviour of entangled quantum systems. We consider the scenario where a bipartite measurement is given from a set…

Quantum Physics · Physics 2009-10-31 Gilles Brassard , Richard Cleve , Alain Tapp

Recent work has extended Bell's theorem by quantifying the amount of communication required to simulate entangled quantum systems with classical information. The general scenario is that a bipartite measurement is given from a set of…

Quantum Physics · Physics 2009-11-06 Serge Massar , Dave Bacon , Nicolas Cerf , Richard Cleve

Magic states are essential for universal quantum computation and are widely viewed as a key source of quantum advantage, yet in realistic devices they are inevitably noisy. In this work, we characterize how noise on injected magic resources…

Quantum Physics · Physics 2026-01-21 Jiwon Heo , Sojeong Park , Changhun Oh

Bell's theorem implies that the outcomes of local measurements on two maximally entangled systems cannot be simulated without classical communication between the parties. The communication cost is finite for n Bell states, but it grows…

Quantum Physics · Physics 2011-10-17 Alberto Montina

Transmission of classical information using quantum objects such as polarized photons is studied. The classical (Shannon) channel capacity and its relation to quantum (von Neumann) channel capacity is investigated for various receiver…

Quantum Physics · Physics 2007-05-23 Göran Einarsson

In this thesis, we are interested in the limits of quantum communication with and without entanglement, and with and without noise assumptions on the communication setup. When a sender and a receiver are connected by a communication line…

Quantum Physics · Physics 2024-12-31 Paula Belzig

We prove that the classical capacity of an arbitrary quantum channel assisted by a free classical feedback channel is bounded from above by the maximum average output entropy of the quantum channel. As a consequence of this bound, we…

Quantum Physics · Physics 2020-09-15 Dawei Ding , Yihui Quek , Peter W. Shor , Mark M. Wilde

Prior entanglement between sender and receiver, which exactly doubles the classical capacity of a noiseless quantum channel, can increase the classical capacity of some noisy quantum channels by an arbitrarily large constant factor…

Quantum Physics · Physics 2009-01-23 Charles H. Bennett , Peter W. Shor , John A. Smolin , Ashish V. Thapliyal

We consider the scenario of classical communication over a finite-dimensional quantum channel with memory using a separable-state input ensemble and local output measurements. We propose algorithms for estimating the information rate of…

Information Theory · Computer Science 2024-10-30 Michael X. Cao , Pascal O. Vontobel

We initiate the study of quantifying nonlocalness of a bipartite measurement by the minimum amount of classical communication required to simulate the measurement. We derive general upper bounds, which are expressed in terms of certain…

Quantum Physics · Physics 2011-11-04 Yaoyun Shi , Yufan Zhu

Quantum steering is observed when performing appropriate local measurements on an entangled state. Here we discuss the possibility of simulating classically this effect, using classical communication instead of entanglement. We show that…

Quantum Physics · Physics 2016-07-14 Ana Belén Sainz , Leandro Aolita , Nicolas Brunner , Rodrigo Gallego , Paul Skrzypczyk

We consider the process consisting of preparation, transmission through a quantum channel, and subsequent measurement of quantum states. The communication complexity of the channel is the minimal amount of classical communication required…

Quantum Physics · Physics 2014-11-21 Alberto Montina , Stefan Wolf

We consider general prepare-and-measure scenarios in which Alice can transmit qubit states to Bob, who can perform general measurements in the form of positive operator-valued measures (POVMs). We show that the statistics obtained in any…

Quantum Physics · Physics 2023-03-29 Martin J. Renner , Armin Tavakoli , Marco Túlio Quintino

We show that the communication cost of quantum broadcast channel simulation under free entanglement assistance between the sender and the receivers is asymptotically characterized by an efficiently computable single-letter formula in terms…

Quantum Physics · Physics 2023-05-05 Hao-Chung Cheng , Li Gao , Mario Berta

We study the general framework of quantum channel simulation, that is, the ability of a quantum channel to simulate another one using different classes of codes. First, we show that the minimum error of simulation and the one-shot quantum…

Quantum Physics · Physics 2020-08-13 Kun Fang , Xin Wang , Marco Tomamichel , Mario Berta

We present a simple model of quantum communication where a noisy quantum channel may benefit from the addition of further noise at the decoding stage. We demonstrate enhancement of the classical information capacity of an amplitude damping…

Quantum Physics · Physics 2015-06-26 Garry Bowen , Stefano Mancini

The mathematical framework of quantum theory, though fundamentally distinct from classical physics, raises the question of whether quantum processes can be efficiently simulated using classical resources. For instance, a sender (Alice)…

Quantum Physics · Physics 2025-07-17 Sahil Gopalkrishna Naik , Mani Zartab , Nicolas Gisin , Manik Banik

Transmission of classical information over a quantum state-dependent channel is considered, when the encoder can measure channel side information (CSI) and is required to mask information on the quantum channel state from the decoder. In…

Quantum Physics · Physics 2022-03-14 Uzi Pereg , Christian Deppe , Holger Boche

A fundamental limitation of quantum communication is that a single qubit can carry at most 1 bit of classical information. For an important class of quantum communication channels, known as entanglement-breaking, this limitation holds even…

Quantum Physics · Physics 2025-02-14 Giulio Chiribella , Saptarshi Roy , Tamal Guha , Sutapa Saha