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In theories of communication, it is usually presumed that the involved parties perform actions in a fixed causal order. However, practical and fundamental reasons can induce uncertainties in the causal order. Here we show that a maximal…

量子物理 · 物理学 2019-11-20 Ding Jia , Fabio Costa

It has long been recognized as a difficult problem to determine whether the observed statistical correlation between two classical variables arise from causality or from common causes. Recent research has shown that in quantum theoretical…

量子物理 · 物理学 2020-07-01 Chenguang Zhang , Yuexian Hou , Dawei Song

The framework of distributed computing, consisting of several spatially separated input-output servers, has immense importance in distant data manipulation. One of the most challenging parts of this setting is to optimize the use of…

量子物理 · 物理学 2023-04-11 Sutapa Saha , Tamal Guha , Some Sankar Bhattacharya , Manik Banik

Quantum technology has the potential to revolutionize how we acquire and process experimental data to learn about the physical world. An experimental setup that transduces data from a physical system to a stable quantum memory, and…

We provide a feasible necessary and sufficient condition for when an unknown quantum operation (quantum device) secretely selected from a set of known quantum operations can be identified perfectly within a finite number of queries, and…

量子物理 · 物理学 2013-05-29 Runyao Duan , Yuan Feng , Mingsheng Ying

Quantum processes with indefinite causal structure emerge when we wonder which are the most general evolutions, allowed by quantum theory, of a set of local systems which are not assumed to be in any particular causal order. These processes…

量子物理 · 物理学 2024-02-07 Luca Apadula , Alessandro Bisio , Paolo Perinotti

Recent theoretical results confirm that quantum theory provides the possibility of new ways of performing efficient calculations. The most striking example is the factoring problem. It has recently been shown that computers that exploit…

量子物理 · 物理学 2008-11-26 Adriano Barenco

Within quantum theory, we can create superpositions of different causal orders of events, and observe interference between them. This raises the question of whether quantum theory can produce results that would be impossible to replicate…

量子物理 · 物理学 2021-10-07 Tom Purves , Anthony J. Short

We compare classical and quantum query complexities of total Boolean functions. It is known that for worst-case complexity, the gap between quantum and classical can be at most polynomial. We show that for average-case complexity under the…

量子物理 · 物理学 2009-09-25 Andris Ambainis , Ronald de Wolf

The quantum SWITCH is an example of a process with an indefinite causal structure, and has attracted attention for its ability to outperform causally ordered computations within the quantum circuit model. To date, realisations of the…

We present an instance of a task of minimum-error discrimination of two qubit-qubit quantum channels for which a sequential strategy outperforms any parallel strategy. We then establish two new classes of strategies for channel…

量子物理 · 物理学 2021-11-24 Jessica Bavaresco , Mio Murao , Marco Túlio Quintino

In a quantum computer, creating superpositions of quantum bits (qubits) in different states can lead to a speed-up over classical computers [1], but quantum mechanics also allows for the superposition of quantum circuits [2]. In fact, it…

We introduce a qubit-based version of the quantum switch, consisting in a variation of the Fermi problem. Two qubits start in a superposition state where one qubit is excited and the other in the ground state, but it is undefined which is…

量子物理 · 物理学 2022-05-10 Carlos Sabín

Recently developed quantum algorithms suggest that quantum computers can solve certain problems and perform certain tasks more efficiently than conventional computers. Among other reasons, this is due to the possibility of creating…

量子物理 · 物理学 2007-05-23 Rolando D. Somma

Generalizing earlier work characterizing the quantum query complexity of computing a function of an unknown classical ``black box'' function drawn from some set of such black box functions, we investigate a more general quantum query model…

量子物理 · 物理学 2007-05-23 Howard N. Barnum

Models for quantum computation with circuit connections subject to the quantum superposition principle have been recently proposed. There, a control quantum system can coherently determine the order in which a target quantum system…

Discrimination between unknown processes chosen from a finite set is experimentally shown to be possible even in the case of non-orthogonal processes. We demonstrate unambiguous deterministic quantum process discrimination (QPD) of…

量子物理 · 物理学 2015-05-13 Anthony Laing , Terry Rudolph , Jeremy L. O'Brien

For minimum-error channel discrimination tasks that involve only unitary channels, we show that sequential strategies may outperform the parallel ones. Additionally, we show that general strategies that involve indefinite causal order are…

量子物理 · 物理学 2022-05-16 Jessica Bavaresco , Mio Murao , Marco Túlio Quintino

We introduce a systematic study of "symmetric quantum circuits", a new restricted model of quantum computation that preserves the symmetries of the problems it solves. This model is well-adapted for studying the role of symmetry in quantum…

量子物理 · 物理学 2025-10-07 Davi Castro-Silva , Tom Gur , Sergii Strelchuk

Quantum theory was radically different from the theories of nature which came before it. One key difference was its use of complex numbers. This opened a longstanding debate over whether quantum theory fundamentally requires complex numbers…

量子物理 · 物理学 2025-10-10 Timothee Hoffreumon , Mischa P. Woods