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In the realm of quantum computing, quantum circuits serve as essential depictions of quantum algorithms, which are then compiled into executable operations for quantum computations. Quantum compilers are responsible for converting these…

Cryptography and Security · Computer Science 2026-03-02 Vincent Langford , Shihan Zhao , Hongyu Zhang , Ben Dong , Qian Wang , Anees Rehman , Yuntao Liu

Superconducting circuits with Josephson junctions distinguish themselves from other types of quantum computing architectures by having easily controllable metastable computational states (the so-called phase qubits) with a very large ratio…

Quantum Physics · Physics 2024-09-10 Andrei Galiautdinov

When considering a sequent-style proof system for quantum programs, there are certain elements of quantum mechanics that we may wish to capture, such as phase, dynamics of unitary transformations, and measurement probabilities. Traditional…

Logic in Computer Science · Computer Science 2016-06-23 Cameron Beebe

Superconducting circuits comprising Josephson junctions have spurred significant research activity due to their promise to realize scalable quantum computers. Effective Hamiltonians for these systems have traditionally been derived assuming…

Quantum Physics · Physics 2025-10-02 Thomas J. Maldonado , Alejandro W. Rodriguez , Hakan E. Türeci

This work introduces and characterizes quantum sequential circuits (QSCs) as a hardware-oriented paradigm for quantum computing, built upon a novel foundational element termed the quantum transistor. Unlike conventional qubit-based…

Quantum Physics · Physics 2026-02-06 D. -S. Wang

Two-level system fluctuators in superconducting devices have demonstrated coherent coupling with superconducting qubits. Here, we show that universal quantum logic gates can be realized in these two-level systems solely by tuning a…

Quantum Physics · Physics 2009-11-13 L. Tian , K. Jacobs

Simulating large-scale coupled-oscillator systems presents substantial computational challenges for classical algorithms, particularly when pursuing first-principles analyses in the thermodynamic limit. Motivated by the quantum algorithm…

Superconducting circuits based on Josephson junctions exhibit macroscopic quantum coherence and can behave like artificial atoms. Recent technological advances have made it possible to implement atomic-physics and quantum-optics experiments…

Quantum Physics · Physics 2015-06-04 J. Q. You , Franco Nori

Josephson qubits without direct interaction can be effectively coupled by sequentially connecting them to an information bus: a current-biased large Josephson junction treated as an oscillator with adjustable frequency. The coupling between…

Superconductivity · Physics 2009-11-10 L. F. Wei , Yu-xi Liu , Franco Nori

We propose a scheme for a cavity quantum electrodynamics (QED) architecture for a current-biased superconducting flux qubit with three Josephson junctions. The qubit operation is performed by using a bias current coming from the current…

Superconductivity · Physics 2015-10-20 Mun Dae Kim , K. Moon

Recent progress of Reciprocal Quantum Logic (RQL) has renewed interest in AC powering of superconductor digital circuits, which had been abandoned since the famous IBM project of 1970s. In this work we propose and demonstrate new AC-biased…

Superconductivity · Physics 2016-02-12 Vasili K. Semenov , Yuri A. Polyakov , Sergey K. Tolpygo

We introduce the first complete equational theory for quantum circuits. More precisely, we introduce a set of circuit equations that we prove to be sound and complete: two circuits represent the same unitary map if and only if they can be…

Quantum Physics · Physics 2023-11-15 Alexandre Clément , Nicolas Heurtel , Shane Mansfield , Simon Perdrix , Benoît Valiron

Superconducting flux qubits are a promising candidate for solid-state quantum computation. One of the reasons is that implementing a controlled coupling between the qubits appears to be relatively easy, if one uses tunable Josephson…

Superconductivity · Physics 2009-11-10 M. J. Storcz , F. K. Wilhelm

Shallow, CNOT-efficient quantum circuits are crucial for performing accurate computational chemistry simulations on current noisy quantum hardware. Here, we explore the usefulness of non-iterative energy corrections, based on the method of…

Chemical Physics · Physics 2023-05-03 Ilias Magoulas , Francesco A. Evangelista

It has previously been shown that probabilistic quantum logic operations can be performed using linear optical elements, additional photons (ancilla), and post-selection based on the output of single-photon detectors. Here we describe the…

Quantum Physics · Physics 2009-11-07 T. B. Pittman , B. C. Jacobs , J. D. Franson

Although quantum circuits have been ubiquitous for decades in quantum computing, the first complete equational theory for quantum circuits has only recently been introduced. Completeness guarantees that any true equation on quantum circuits…

Quantum Physics · Physics 2023-12-04 Alexandre Clément , Noé Delorme , Simon Perdrix , Renaud Vilmart

A 1D Josephson junction loop, doped with a spin-flipper and attached to two thermal reservoirs, operates as a heat engine or a refrigerator, a Joule pump, or even a cold pump. When operating as a quantum heat engine, the efficiency of this…

Statistical Mechanics · Physics 2022-06-13 Subhajit Pal , Colin Benjamin

We explore superconducting quantum circuits where several leads are simultaneously connected beyond the tunneling regime, such that the fermionic structure of Andreev bound states in the resulting multiterminal Josephson junction influences…

Mesoscale and Nanoscale Physics · Physics 2024-08-20 F. J. Matute-Cañadas , L. Tosi , A. Levy Yeyati

The promise of single Cooper pair quantum circuits based on tunnel junctions for metrology and quantum information applications is severely limited by the influence of "offset" charges - random, slowly drifting microscopic charges inherent…

Mesoscale and Nanoscale Physics · Physics 2015-05-13 Vladimir E. Manucharyan , Jens Koch , Leonid Glazman , Michel Devoret

Executing quantum logic in cryogenic quantum computers requires a continuous energy supply from room-temperature control electronics. This dependence on external energy sources creates scalability limitations due to control channel density…

Quantum Physics · Physics 2026-01-28 Yaniv Kurman , Kieran Hymas , Arkady Fedorov , William J. Munro , James Quach
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