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This article presents a technique for proving problems hard for classes of the polynomial hierarchy or for PSPACE. The rationale of this technique is that some problem restrictions are able to simulate existential or universal quantifiers.…

人工智能 · 计算机科学 2007-08-31 Paolo Liberatore

Recently, researchers have been working toward the development of practical general-purpose protocols for verifiable computation. These protocols enable a computationally weak verifier to offload computations to a powerful but untrusted…

密码学与安全 · 计算机科学 2017-02-09 Justin Thaler

During the last ten years, superconducting circuits have passed from being interesting physical devices to becoming contenders for near-future useful and scalable quantum information processing (QIP). Advanced quantum simulation experiments…

量子物理 · 物理学 2017-10-10 G. Wendin

The ever-growing complexity of mathematical proofs makes their manual verification by mathematicians very cognitively demanding. Autoformalization seeks to address this by translating proofs written in natural language into a formal…

计算与语言 · 计算机科学 2023-01-06 Garett Cunningham , Razvan C. Bunescu , David Juedes

Public-key cryptosystems for quantum messages are considered from two aspects: public-key encryption and public-key authentication. Firstly, we propose a general construction of quantum public-key encryption scheme, and then construct an…

量子物理 · 物理学 2012-05-11 Min Liang , Li Yang

We give a detailed theoretical derivation of the quantum master equation for the coherent Ising machine. This is a quantum computational network with feedback, that solves NP hard combinatoric problems, including the traveling salesman…

量子物理 · 物理学 2022-08-17 Simon Kiesewetter , Peter D Drummond

In a recent seminal work, Bitansky and Shmueli (STOC '20) gave the first construction of a constant round zero-knowledge argument for NP secure against quantum attacks. However, their construction has several drawbacks compared to the…

量子物理 · 物理学 2023-10-31 Nai-Hui Chia , Kai-Min Chung , Takashi Yamakawa

We consider testing the ability of quantum network nodes to execute multi-round quantum protocols. Specifically, we examine protocols in which the nodes are capable of performing quantum gates, storing qubits and exchanging said qubits over…

量子物理 · 物理学 2020-04-29 Victoria Lipinska , Le Phuc Thinh , Jeremy Ribeiro , Stephanie Wehner

We show that a simple eavesdropper listening in on classical communication between potentially entangled quantum parties will eventually be able to impersonate any of the parties. Furthermore, the attack is efficient if one-way puzzles do…

量子物理 · 物理学 2026-01-06 Luowen Qian , Mark Zhandry

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…

量子物理 · 物理学 2022-03-30 Dmytro Gavinsky

We propose a simple protocol for the verification of quantum computation after the computation has been performed. Our construction can be seen as an improvement on previous results in that it requires only a single prover, who is…

量子物理 · 物理学 2018-03-19 Tomoyuki Morimae , Joseph F. Fitzsimons

We consider the parameterized verification problem for distributed algorithms where the goal is to develop techniques to prove the correctness of a given algorithm regardless of the number of participating processes. Motivated by an…

形式语言与自动机理论 · 计算机科学 2022-04-26 Nathalie Bertrand , Nicolas Markey , Ocan Sankur , Nicolas Waldburger

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…

Quantum correlations provide dramatic advantage over the corresponding classical resources in several communication tasks. However a broad class of probabilistic theories exists that attributes greater success than quantum theory in many of…

量子物理 · 物理学 2020-11-09 Sutapa Saha , Some Sankar Bhattacharya , Tamal Guha , Saronath Halder , Manik Banik

Recent progress towards theoretical interpretability guarantees for AI has been made with classifiers that are based on interactive proof systems. A prover selects a certificate from the datapoint and sends it to a verifier who decides the…

机器学习 · 计算机科学 2023-06-08 Stephan Wäldchen

With experimental quantum computing technologies now in their infancy, the search for efficient means of testing the correctness of these quantum computations is becoming more pressing. An approach to the verification of quantum computation…

量子物理 · 物理学 2018-04-18 Alexandru Gheorghiu , Matty J. Hoban , Elham Kashefi

Quantum simulations consist in the intentional reproduction of physical or unphysical models into another more controllable quantum system. Beyond establishing communication vessels between unconnected fields, they promise to solve complex…

量子物理 · 物理学 2018-04-24 Lucas Lamata , Adrian Parra-Rodriguez , Mikel Sanz , Enrique Solano

We introduce a model of probabilistic debate checking, where a silent resource-bounded verifier reads a dialogue about the membership of the string in the language under consideration between a prover and a refuter. Our model combines and…

计算复杂性 · 计算机科学 2012-12-03 H. Gökalp Demirci , A. C. Cem Say

Traditional proof systems involve a resource-bounded verifier communicating with a powerful (but untrusted) prover. Distributed verifier proof systems are a new family of proof models that involve a network of verifier nodes communicating…

计算复杂性 · 计算机科学 2020-05-22 Nagaganesh Jaladanki , Wilson Wu

Quantum theory presents us with the tools for computational and communication advantages over classical theory. One approach to uncovering the source of these advantages is to determine how computation and communication power vary as…

量子物理 · 物理学 2016-06-17 Ciarán M. Lee , Matty J. Hoban