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In this short note, we improve and extend Yao's paper "On the power of quantum fingerprinting" about simulating a classical public coin simultaneous message protocol by a quantum simultaneous message protocol with no shared resource.

Quantum Physics · Physics 2007-05-23 Alexander Golynski , Pranab Sen

We study the power of quantum fingerprints in the simultaneous message passing (SMP) setting of communication complexity. Yao recently showed how to simulate, with exponential overhead, classical shared-randomness SMP protocols by means of…

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

We study the simultaneous message passing (SMP) model of communication complexity, for the case where one party is quantum and the other is classical. We show that in an SMP protocol that computes some function with the first party sending…

Quantum Physics · Physics 2008-12-28 Dmitry Gavinsky , Oded Regev , Ronald de Wolf

Quantum communication holds the promise of creating disruptive technologies that will play an essential role in future communication networks. For example, the study of quantum communication complexity has shown that quantum communication…

In this paper we study a quantum version of the multiparty simultaneous message-passing (SMP) model, and we show that in some cases, quantum communication can replace public randomness, even with no entanglement between the parties. This…

Quantum Physics · Physics 2024-12-12 François Le Gall , Oran Nadler , Harumichi Nishimura , Rotem Oshman

This work addresses two problems in the context of two-party communication complexity of functions. First, it concludes the line of research, which can be viewed as demonstrating qualitative advantage of quantum communication in the three…

Computational Complexity · Computer Science 2022-04-05 Dmytro Gavinsky

We provide the first example of a communication model and a distributed task, for which there exists a realistic quantum protocol which is asymptotically more efficient than any classical protocol, both in the communication and the…

Quantum Physics · Physics 2017-04-05 Niraj Kumar , Eleni Diamanti , Iordanis Kerenidis

We consider several models of 1-round classical and quantum communication, some of these models have not been defined before. We "almost separate" the models of simultaneous quantum message passing with shared entanglement and the model of…

Quantum Physics · Physics 2022-03-29 Dmytro Gavinsky

Quantum communication has been leading the way of many remarkable theoretical results and experimental tests in physics. In this context, quantum communication complexity (QCC) has recently drawn earnest research attention as a tool to…

Quantum Physics · Physics 2020-11-11 Hipólito Gómez-Sousa

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 that any classical two-way communication protocol with shared randomness that can approximately simulate the result of applying an arbitrary measurement (held by one party) to a quantum state of $n$ qubits (held by another), up to…

Quantum Physics · Physics 2019-07-03 Ashley Montanaro

Buhrman, Cleve, Watrous, and de Wolf (PRL 2001) discovered the quantum fingerprinting protocol, which is the quantum SMP protocol with $O(\log n)$ qubits communication for the equality problem. In the protocol, Alice and Bob create some…

Quantum Physics · Physics 2025-02-20 Atsuya Hasegawa , Srijita Kundu , François Le Gall , Harumichi Nishimura , Qisheng Wang

The long-standing problem of quantum information processing is to remove the classical channel from quantum communication. Introducing a new information processing technique, it is discussed that both insecure and secure quantum…

Quantum Physics · Physics 2007-05-23 Arindam Mitra

Classical fingerprinting associates with each string a shorter string (its fingerprint), such that, with high probability, any two distinct strings can be distinguished by comparing their fingerprints alone. The fingerprints can be…

Quantum Physics · Physics 2009-11-07 Harry Buhrman , Richard Cleve , John Watrous , Ronald de Wolf

Within the simultaneous message passing model of communication complexity, under a public-coin assumption, we derive the minimum achievable worst-case error probability of a classical fingerprinting protocol with one-sided error. We then…

Quantum Physics · Physics 2007-05-23 Rolf T. Horn , A. J. Scott , Jonathan Walgate , Richard Cleve , A. I. Lvovsky , Barry C. Sanders

We speculate what quantum information protocols can be implemented between two accelerating observers using the vacuum. Whether it is in principle possible or not to implement a protocol depends on whether the aim is to end up with…

Quantum Physics · Physics 2007-05-23 Xiatra Anderson , S. J. van Enk , Terry Rudolph

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 propose and construct a quantum money scheme that allows verification through classical communication with a bank. This is the first demonstration that a secure quantum money scheme exists that does not require quantum communication for…

Quantum Physics · Physics 2022-03-30 Dmytro Gavinsky

One of the most intriguing facts about communication using quantum states is that these states cannot be used to transmit more classical bits than the number of qubits used, yet there are ways of conveying information with exponentially…

Quantum Physics · Physics 2007-05-23 Ashwin Nayak , Amnon Ta-Shma , David Zuckerman

Quantum communication has historically been at the forefront of advancements, from fundamental tests of quantum physics to utilizing the quantum-mechanical properties of physical systems for practical applications. In the field of…

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