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The communication complexity of a quantum channel is the minimal amount of classical communication required for classically simulating a process of state preparation, transmission through the channel and subsequent measurement. It…

Quantum Physics · Physics 2012-09-14 Alberto Montina

Shared entanglement is a resource available to parties communicating over a quantum channel, much akin to public coins in classical communication protocols. Whereas shared randomness does not help in the transmission of information, or…

Quantum Physics · Physics 2018-03-22 Ashwin Nayak , Julia Salzman

We prove that the fidelity of two exemplary communication complexity protocols, allowing for an N-1 bit communication, can be exponentially improved by N-1 (unentangled) qubit communication. Taking into account, for a fair comparison, all…

In this letter we show that communication when restricted to a single information carrier (i.e. single particle) and finite speed of propagation is fundamentally limited for classical systems. On the other hand, quantum systems can surpass…

Quantum Physics · Physics 2018-02-22 Flavio Del Santo , Borivoje Dakić

We show that with the fourpartite quantum channel used to teleport an arbitrary two qubit state, we can construct a superdense coding protocol where it is possible to transmit 4 bits of classical information sending only 2 qubits. Alice and…

Quantum Physics · Physics 2007-05-23 G. Rigolin

I show that a simple multi-party communication task can be performed more efficiently with quantum communication than with classical communication, even with low detection efficiency $\eta$. The task is a communication complexity problem in…

Quantum Physics · Physics 2009-11-07 Ernesto F. Galvao

Suppose Alice and Bob share a maximally entangled state of any finite dimension and each perform two-outcome measurements on the respective part of the state. It is known, due to the recent result of Regev and Toner, that if a classical…

Quantum Physics · Physics 2015-05-13 T. Vértesi , E. Bene

We address the question of efficient implementation of quantum protocols, with small communication and entanglement, and short depth circuit for encoding or decoding. We introduce two new methods to achieve this, the first method involving…

Quantum Physics · Physics 2022-08-23 Anurag Anshu , Rahul Jain

Classical teleportation is defined as a scenario where the sender is given the classical description of an arbitrary quantum state while the receiver simulates any measurement on it. This scenario is shown to be achievable by transmitting…

Quantum Physics · Physics 2009-01-23 N. J. Cerf , N. Gisin , S. Massar

In STOC 1999, Raz presented a (partial) function for which there is a quantum protocol communicating only $O(\log n)$ qubits, but for which any classical (randomized, bounded-error) protocol requires $\poly(n)$ bits of communication. That…

Computational Complexity · Computer Science 2010-09-21 Bo'az Klartag , Oded Regev

Quantum communication typically involves a linear chain of repeater stations, each capable of reliable local quantum computation and connected to their nearest neighbors by unreliable communication links. The communication rate in existing…

We study a new type of separation between quantum and classical communication complexity which is obtained using quantum protocols where all parties are efficient, in the sense that they can be implemented by small quantum circuits with…

Quantum Physics · Physics 2019-11-07 Uma Girish , Ran Raz , Avishay Tal

A class of quantum protocols to teleport bipartite (entangled) states of two qubits is suggested. Our schemes require a single entangled pair shared by the two parties and the transmission of three bits of classical information, as well as…

Quantum Physics · Physics 2009-11-11 Mary M. Cola , Matteo G. A. Paris

A process of preparation, transmission and subsequent projective measurement of a qubit can be simulated by a classical model with only two bits of communication and some amount of shared randomness. However no model for n qubits with a…

Quantum Physics · Physics 2011-12-30 Alberto Montina

We consider the problem of the classical simulation of quantum measurements in the scenario of communication complexity. Regev and Toner (2007) have presented a 2-bit protocol which simulates one particular correlation function arising from…

Quantum Physics · Physics 2013-10-09 Adrian Kosowski , Marcin Markiewicz

Superdense coding proved that entanglement-assisted quantum communications can improve the data transmission rates compared to classical systems. It allows sending 2 classical bits between the parties in exchange of 1 quantum bit and a…

Quantum Physics · Physics 2012-10-11 Sandor Imre

We present a protocol for quantum fingerprinting that is ready to be implemented with current technology and is robust to experimental errors. The basis of our scheme is an implementation of the signal states in terms of a coherent state in…

Quantum Physics · Physics 2014-06-19 Juan Miguel Arrazola , Norbert Lütkenhaus

We show how shared entanglement, together with classical communication and local quantum operations, can be used to perform an arbitrary collective quantum operation upon N spatially-separated qubits. A simple teleportation-based protocol…

Quantum Physics · Physics 2009-11-06 Anthony Chefles , Claire R. Gilson , Stephen M. Barnett

We study randomized and quantum efficiency lower bounds in communication complexity. These arise from the study of zero-communication protocols in which players are allowed to abort. Our scenario is inspired by the physics setup of Bell…

Quantum Physics · Physics 2014-07-03 S. Laplante , V. Lerays , J. Roland

We consider the problem of bounded-error quantum state identification: given either state \alpha_0 or state \alpha_1, we are required to output `0', `1' or `?' ("don't know"), such that conditioned on outputting `0' or `1', our guess is…

Quantum Physics · Physics 2022-03-29 Dmytro Gavinsky , Julia Kempe , Oded Regev , Ronald de Wolf