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Verification of quantum computation is a task to efficiently check whether an output given from a quantum computer is correct. Existing verification protocols conducted between a quantum computer to be verified and a verifier necessitate…

量子物理 · 物理学 2024-04-01 Yuki Takeuchi , Akihiro Mizutani

In this work, we show that very natural, apparently simple problems in quantum measurement theory can be undecidable even if their classical analogues are decidable. Undecidability hence appears as a genuine quantum property here. Formally,…

量子物理 · 物理学 2012-07-20 J. Eisert , M. P. Mueller , C. Gogolin

Instead of producing quantum languages that are fit for current quantum computers, we build a language from standard classical assembler and augment it with quantum capabilities so that quantum algorithms become a subset of it. This paves…

量子物理 · 物理学 2022-06-29 Thomas Gabor , Marian Lingsch Rosenfeld , Claudia Linnhoff-Popien

The development of quantum algorithms based on quantum versions of random walks is placed in the context of the emerging field of quantum computing. Constructing a suitable quantum version of a random walk is not trivial: pure quantum…

量子物理 · 物理学 2007-05-23 Viv Kendon

Quantum computers are expected to offer substantial speedups over their classical counterparts and to solve problems that are intractable for classical computers. Beyond such practical significance, the concept of quantum computation opens…

量子物理 · 物理学 2014-11-13 Stefanie Barz , Joseph F. Fitzsimons , Elham Kashefi , Philip Walther

Even if the output of a Random Number Generator (RNG) is perfectly uniformly distributed, it may be correlated to pre-existing information and therefore be predictable. Statistical tests are thus not sufficient to guarantee that an RNG is…

量子物理 · 物理学 2013-11-20 Daniela Frauchiger , Renato Renner , Matthias Troyer

Quantum computers are becoming real, and they have the inherent potential to significantly impact many application domains. We sketch the basics about programming quantum computers, showing that quantum programs are typically hybrid…

Recent years have seen significant activity on the problem of using data for the purpose of learning properties of quantum systems or of processing classical or quantum data via quantum computing. As in classical learning, quantum learning…

量子物理 · 物理学 2024-04-17 Leonardo Banchi , Jason Luke Pereira , Sharu Theresa Jose , Osvaldo Simeone

Recent improvements in control of quantum systems make it seem feasible to finally build a quantum computer within a decade. While it has been shown that such a quantum computer can in principle solve certain small electronic structure…

量子物理 · 物理学 2016-09-27 Bela Bauer , Dave Wecker , Andrew J. Millis , Matthew B. Hastings , M. Troyer

Applications of quantum mechanics rely on the accuracy of reading and writing data. This requires accurate measurements and preparations of the quantum states. I show that accurate measurements and preparations are impossible if the total…

量子物理 · 物理学 2025-10-06 Ovidiu Cristinel Stoica

In recent years, deep learning has had a profound impact on machine learning and artificial intelligence. At the same time, algorithms for quantum computers have been shown to efficiently solve some problems that are intractable on…

量子物理 · 物理学 2015-05-25 Nathan Wiebe , Ashish Kapoor , Krysta M. Svore

It is imperative that useful quantum computers be very difficult to simulate classically; otherwise classical computers could be used for the applications envisioned for the quantum ones. Perfect quantum computers are unarguably…

量子物理 · 物理学 2020-11-26 Yiqing Zhou , E. Miles Stoudenmire , Xavier Waintal

This paper presents two unconventional links between quantum and classical physics. The first link appears in the study of quantum cryptography. In the presence of a spy, the quantum correlations shared by Alice and Bob are imperfect. One…

量子物理 · 物理学 2007-05-23 Valerio Scarani

We show the following: a randomly chosen pure state as a resource for measurement-based quantum computation, is - with overwhelming probability - of no greater help to a polynomially bounded classical control computer, than a string of…

量子物理 · 物理学 2010-10-21 Michael J. Bremner , Caterina Mora , Andreas Winter

Quantum computers use quantum mechanical phenomena to perform conventionally intractable calculations for specific problems. Despite being universal machines, quantum computers are not expected to replace classical computers, but rather, to…

新兴技术 · 计算机科学 2025-07-08 Philip Döbler , Manpreet Singh Jattana

A quantum computer has now solved a specialized problem believed to be intractable for supercomputers, suggesting that quantum processors may soon outperform supercomputers on scientifically important problems. But flaws in each quantum…

量子物理 · 物理学 2022-01-21 Timothy Proctor , Kenneth Rudinger , Kevin Young , Erik Nielsen , Robin Blume-Kohout

In the classical world one can construct two identical systems which have identical behavior and give identical measurement results. We show this to be impossible in the quantum domain. We prove that after the same quantum measurement two…

量子物理 · 物理学 2017-01-10 Denis Sych , Gerd Leuchs

We suggest that quantum computers can solve quantum many-body problems that are impracticable to solve on a classical computer.

量子物理 · 物理学 2007-05-23 Stephen Wiesner

Three problems stand in the way of deriving classical theories from quantum mechanics: those of realist interpretation, of classical properties and of quantum measurement. Recently, we have identified some tacit assumptions that lie at the…

量子物理 · 物理学 2015-06-03 Petr Hajicek

Quantum computers are expected to surpass the computational capabilities of classical computers and have a transformative impact on numerous industry sectors. We present a comprehensive summary of the state of the art of quantum computing…

量子物理 · 物理学 2023-07-24 Dylan Herman , Cody Googin , Xiaoyuan Liu , Yue Sun , Alexey Galda , Ilya Safro , Marco Pistoia , Yuri Alexeev