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At the intersection of quantum theory and relativity lies the possibility of a clock experiencing a superposition of proper times. We consider quantum clocks constructed from the internal degrees of relativistic particles that move through…

量子物理 · 物理学 2021-02-09 Alexander R. H. Smith , Mehdi Ahmadi

I consider quantum protocols for clock synchronization, and investigate in particular whether entanglement distillation or quantum error-correcting codes can improve the robustness of these protocols. I also draw attention to some…

量子物理 · 物理学 2007-05-23 John Preskill

Quantum key distribution (QKD) systems provide a method for two users to exchange a provably secure key. Synchronizing the users' clocks is an essential step before a secure key can be distilled. Qubit-based synchronization protocols…

量子物理 · 物理学 2021-08-11 Roderick D. Cochran , Daniel J. Gauthier

We propose a distributed algorithm for time synchronization in mobile wireless sensor networks. Each node can employ the algorithm to estimate the global time based on its local clock time. The problem of time synchronization is formulated…

系统与控制 · 计算机科学 2014-12-30 Chenda Liao , Prabir Barooah

Solving linear systems of equations is a common problem that arises both on its own and as a subroutine in more complex problems: given a matrix A and a vector b, find a vector x such that Ax=b. We consider the case where one doesn't need…

量子物理 · 物理学 2009-10-08 Aram W. Harrow , Avinatan Hassidim , Seth Lloyd

We propose a quantum method to judge whether two spatially separated clocks have been synchronized within a specific accuracy $\sigma$. If the measurement result of the experiment is obviously a nonzero value, the time difference between…

量子物理 · 物理学 2013-11-20 Yong-Liang Zhang , Yu-Ran Zhang , Liang-Zhu Mu , Heng Fan

We demonstrate that two spatially separated parties (Alice and Bob) can utilize shared prior quantum entanglement, and classical communications, to establish a synchronized pair of atomic clocks. In contrast to classical synchronization…

量子物理 · 物理学 2009-11-06 Richard Jozsa , Daniel S. Abrams , Jonathan P. Dowling , Colin P. Williams

Recent work has raised the possibility that quantum information theory techniques can be used to synchronize atomic clocks nonlocally. One of the proposed algorithms for quantum clock synchronization (QCS) requires distribution of entangled…

量子物理 · 物理学 2013-05-29 Ulvi Yurtsever , Jonathan P. Dowling

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…

量子物理 · 物理学 2019-07-03 Ashley Montanaro

Quantum key distribution (QKD) is a method that enables two remote parties to share a secure key string. Clock synchronization between two parties is a crucial step in the normal operation of QKD. Qubit-based synchronization can achieve…

量子物理 · 物理学 2024-04-24 Ye Chen , Chunfeng Huang , Shuyi Huang , Zhenrong Zhang , Kejin Wei

It has recently been reported [\textit{PNAS} \textbf{114}, 2303 (2017)] that, under an operational definition of time, quantum clocks would get entangled through gravitational effects. Here we study an alternative scenario: the clocks have…

量子物理 · 物理学 2019-11-14 Jieci Wang , Tonghua Liu , Jiliang Jing , Songbai Chen

Despite the promise that fault-tolerant quantum computers can efficiently solve classically intractable problems, it remains a major challenge to find quantum algorithms that may reach computational advantage in the present era of noisy,…

量子物理 · 物理学 2024-11-13 Miguel Murça , Duarte Magano , Yasser Omar

Solving linear systems of equations is ubiquitous in all areas of science and engineering. With rapidly growing data sets, such a task can be intractable for classical computers, as the best known classical algorithms require a time…

A major outstanding problem for many quantum clock synchronization protocols is the hidden assumption of the availability of synchronized clocks within the protocol. In general, quantum operations between two parties do not have consistent…

量子物理 · 物理学 2018-08-14 Ebubechukwu O. Ilo-Okeke , Louis Tessler , Jonathan P. Dowling , Tim Byrnes

The accuracy of the time information generated by clocks can be enhanced by allowing them to communicate with each other. Here we consider a basic scenario where a quantum clock receives a low-accuracy time signal as input and ask whether…

量子物理 · 物理学 2019-12-04 Yuxiang Yang , Lennart Baumgärtner , Ralph Silva , Renato Renner

The hidden shift problem is a natural place to look for new separations between classical and quantum models of computation. One advantage of this problem is its flexibility, since it can be defined for a whole range of functions and a…

量子物理 · 物理学 2013-12-05 Dmitry Gavinsky , Martin Roetteler , Jérémie Roland

This paper gives the first separation of quantum and classical pure (i.e., non-cryptographic) computing abilities with no restriction on the amount of available computing resources, by considering the exact solvability of a celebrated…

量子物理 · 物理学 2012-10-10 Seiichiro Tani , Hirotada Kobayashi , Keiji Matsumoto

Quantum mechanics imposes a fundamental tradeoff between the accuracy of time measurements and the size of the systems used as clocks. When the measurements of different time intervals are combined, the errors due to the finite clock size…

量子物理 · 物理学 2019-01-29 Yuxiang Yang , Giulio Chiribella , Masahito Hayashi

The growing demands of remote detection and increasing amount of training data make distributed machine learning under communication constraints a critical issue. This work provides a communication-efficient quantum algorithm that tackles…

量子物理 · 物理学 2023-04-26 Hao Tang , Boning Li , Guoqing Wang , Haowei Xu , Changhao Li , Ariel Barr , Paola Cappellaro , Ju Li

We propose two distributed iterative algorithms that can be used to solve, in finite time, the distributed optimization problem over quadratic local cost functions in large-scale networks. The first algorithm exhibits synchronous operation…