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The problem of reliably certifying the outcome of a computation performed by a quantum device is rapidly gaining relevance. We present two protocols for a classical verifier to verifiably delegate a quantum computation to two…

Quantum Physics · Physics 2020-01-13 Andrea Coladangelo , Alex Grilo , Stacey Jeffery , Thomas Vidick

Modern separation logics allow one to prove rich properties of intricate code, e.g. functional correctness and linearizability of non-blocking concurrent code. However, this expressiveness leads to a complexity that makes these logics…

Programming Languages · Computer Science 2021-08-16 Felix A. Wolf , Malte Schwerhoff , Peter Müller

One of the potential applications of a quantum computer is solving quantum chemical systems. It is known that one of the fastest ways to obtain somewhat accurate solutions classically is to use approximations of density functional theory.…

Quantum Physics · Physics 2020-11-18 Thomas E. Baker , David Poulin

Characterizing quantum systems through experimental data is critical to applications as diverse as metrology and quantum computing. Analyzing this experimental data in a robust and reproducible manner is made challenging, however, by the…

Quantum computers are becoming more mainstream. As more programmers are starting to look at writing quantum programs, they face an inevitable task of debugging their code. How should the programs for quantum computers be debugged? In this…

Software Engineering · Computer Science 2020-02-03 Andriy Miranskyy , Lei Zhang , Javad Doliskani

We consider the problem of automatically verifying programs which manipulate arbitrary data structures. Our specification language is expressive, contains a notion of \emph{separation}, and thus enables a precise specification of…

Programming Languages · Computer Science 2017-11-16 Duc-Hiep Chu , Joxan Jaffar

Qubit-resolved operations and measurements are required for most current quantum information processing schemes. However, these operations can be experimentally costly due to the need for local addressing, demanding significant classical…

Quantum Physics · Physics 2026-05-26 Liang Mao , Yifei Wang , Yingfei Gu , Chengshu Li

The accuracies of modern quantum logic clocks have surpassed those of standard atomic fountain clocks. These clocks also provide a greater degree of control, because before and after clock queries, we are able to apply chosen unitary…

Quantum Physics · Physics 2011-07-28 Michael Mullan , Emanuel Knill

Recently, there are more and more organizations offering quantum-cloud services, where any client can access a quantum computer remotely through the internet. In the near future, these cloud servers may claim to offer quantum computing…

Quantum Physics · Physics 2021-05-20 Xi Chen , Bin Cheng , Zhaokai Li , Xinfang Nie , Nengkun Yu , Man-Hong Yung , Xinhua Peng

We show that time complexity analysis of higher-order functional programs can be effectively reduced to an arguably simpler (although computationally equivalent) verification problem, namely checking first-order inequalities for validity.…

Logic in Computer Science · Computer Science 2012-10-26 Ugo Dal Lago , Barbara Petit

Development of formal proofs of correctness of programs can increase actual and perceived reliability and facilitate better understanding of program specifications and their underlying assumptions. Tools supporting such development have…

Logic in Computer Science · Computer Science 2020-03-17 Talia Ringer , Karl Palmskog , Ilya Sergey , Milos Gligoric , Zachary Tatlock

A quantum finite-state automaton (QFA) is a theoretical model designed to simulate the evolution of a quantum system with finite memory in response to sequential input strings. We define the language of a QFA as the set of strings that lead…

Computation and Language · Computer Science 2024-07-04 SeungYeop Baik , Sicheol Sung , Yo-Sub Han

A secure quantum identification system combining a classical identification procedure and quantum key distribution is proposed. Each identification sequence is always used just once and new sequences are ``refuelled'' from a shared provably…

Quantum Physics · Physics 2009-10-31 Miloslav Dusek , Ondrej Haderka , Martin Hendrych , Robert Myska

Many digital systems are designed as collections of asynchronous processes orchestrated by a domain-specific scheduler. The verification of such scheduler-restricted asynchronous systems (SRA) is challenging due to process-process and…

Logic in Computer Science · Computer Science 2026-05-27 Alessandro Cimatti , Alberto Griggio , Christian Lidström , Gianluca Redondi , Dylan Trenti

Quantum computing promises the ability to compute properties of quantum systems exponentially faster than classical computers. Quantum advantage is achieved when a practical problem is solved more efficiently on a quantum computer than on a…

Quantum Physics · Physics 2025-12-03 William A. Simon , Peter J. Love

Quantum metric learning enhances machine learning by mapping classical data to a quantum Hilbert space with maximal separation between classes. However, on current NISQ hardware, this mapping process itself is prone to errors and could be…

Quantum Physics · Physics 2026-03-31 Ahmed Shokry , Movahhed Sadeghi , Mahmut Kandemir

Span programs are an important model of quantum computation due to their tight correspondence with quantum query complexity. For any decision problem $f$, the minimum complexity of a span program for $f$ is equal, up to a constant factor,…

Quantum Physics · Physics 2021-05-14 Arjan Cornelissen , Stacey Jeffery , Maris Ozols , Alvaro Piedrafita

A program verifier is a tool that can be used to verify that a "contract" for a program holds - i.e. given a precondition the program guarantees that a given postcondition holds - by only working at the level of the annotated program. An…

Software Engineering · Computer Science 2014-06-12 Gudmund Grov

We demonstrate that a classical emulation of quantum gate operations, here represented by an actual analog electronic device, can be modeled accurately as a quantum operation in terms of a universal set of Pauli operators. This observation…

Quantum Physics · Physics 2021-04-28 Brian R. La Cour , Corey I. Ostrove , Michael J. Starkey , Granville E. Ott

In deductive verification and software model checking, dealing with certain specification language constructs can be problematic when the back-end solver is not sufficiently powerful or lacks the required theories. One way to deal with this…

Logic in Computer Science · Computer Science 2024-12-10 Jesper Amilon , Zafer Esen , Dilian Gurov , Christian Lidström , Philipp Rümmer , Marten Voorberg
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