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We present a very general construction for quantum annealing protocols to solve Combinational Circuit Fault Diagnosis (CCFD) problems that restricts the evolution to the space of valid diagnoses. This is accomplished by using special local…

Quantum Physics · Physics 2022-07-12 Hannes Leipold , Federico M. Spedalieri

In a Josephson phase qubit the coherent manipulations of the computational states are achieved by modulating an applied ac current, typically in the microwave range. In this work we show that it is possible to find optimal modulations of…

Mesoscale and Nanoscale Physics · Physics 2010-09-08 Shabnam Safaei , Simone Montangero , Fabio Taddei , Rosario Fazio

Quantum computation promises to advance a wide range of computational tasks. However, current quantum hardware suffers from noise and is too small for error correction. Thus, accurately utilizing noisy quantum computers strongly relies on…

Optimization and Control · Mathematics 2024-12-16 Friedrich Wagner , Daniel J. Egger , Frauke Liers

Though theoretical treatments of quantum tunnelling within single-particle quantum mechanics are well-established, at present, there is no quantum field-theoretic description (QFT) of tunnelling. Due to the single-particle nature of quantum…

High Energy Physics - Theory · Physics 2024-10-10 Rosemary Zielinski , Patrick McGlynn , Cedric Simenel

Superconducting circuits extensively rely on the Josephson junction as a nonlinear electronic element for manipulating quantum information and mediating photon interactions. Despite continuing efforts in designing anharmonic Josephson…

Quantum Physics · Physics 2020-02-26 Andrei Vrajitoarea , Ziwen Huang , Peter Groszkowski , Jens Koch , Andrew A. Houck

We consider a range of unconventional modifications to Quantum Annealing (QA), applied to an artificial trial problem with continuously tunable difficulty. In this problem, inspired by "transverse field chaos" in larger systems, classical…

Quantum Physics · Physics 2021-03-31 Zhijie Tang , Eliot Kapit

Superconducting qubits utilize the strong non-linearity of the Josephson junctions. Control over the Josephson nonlinearity, either by a current bias or by the magnetic flux, can be a valuable resource that brings tunability in the hybrid…

Quantum Physics · Physics 2022-04-04 Sourav Majumder , Tanmoy Bera , Ramya Suresh , Vibhor Singh

We propose a new kernel that quantifies success for the task of computing a core-periphery partition for an undirected network. Finding the associated optimal partitioning may be expressed in the form of a quadratic unconstrained binary…

Social and Information Networks · Computer Science 2022-01-06 Catherine F. Higham , Desmond J. Higham , Francesco Tudisco

In a system of two tunable-frequency qubits, it is well-known that adiabatic tuning into strong coupling-interaction regions between the qubit subspace and the rest of the Hilbert space can be used to generate an effective controlled Z…

Quantum Physics · Physics 2024-10-18 Vihaan Dheer

Quantum annealing is a computational approach designed to leverage quantum fluctuations for solving large-scale classical optimization problems. Although incorporating standard transverse field (TF) terms in the annealing process can help…

Quantum Physics · Physics 2025-05-06 Henning Schlömer , Subir Sachdev

We propose a scheme to realize a quantum non-demolition (QND) measurement of a superconducting flux qubit by a Josephson bifurcation amplifier. Our scheme can implement a perfect QND measurement for a qubit subject to a variable magnetic…

Mesoscale and Nanoscale Physics · Physics 2013-05-29 Ying-Dan Wang , Xiaobo Zhu , Christoph Bruder

Noise in quantum computing devices poses a key challenge in their realization. In this paper, we study the robustness of optimal quantum annealing protocols against coherent control errors, which are multiplicative Hamlitonian errors…

Quantum Physics · Physics 2024-09-17 Niklas Funcke , Julian Berberich

Motivated by recent experiments with Josephson-junction circuits, we analyze the influence of various noise sources on the dynamics of two-level systems at optimal operation points where the linear coupling to low-frequency fluctuations is…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Yuriy Makhlin , Alexander Shnirman

The performance of open-system quantum annealing is adversely affected by thermal excitations out of the ground state. While the presence of energy gaps between the ground and excited states suppresses such excitations, error correction…

Quantum Physics · Physics 2017-02-09 Shunji Matsuura , Hidetoshi Nishimori , Walter Vinci , Tameem Albash , Daniel A. Lidar

We report superconducting fluxonium qubits with coherence times largely limited by energy relaxation and reproducibly satisfying T2 > 100 microseconds (T2 > 300 microseconds in one device). Moreover, given the state of the art values of the…

We introduce Josephson junction and inductor models in Keysight ADS that feature an auxiliary flux port, and facilitate the expression of flux quantization conditions in simulation of superconducting microwave circuits. We present several…

Superconductivity · Physics 2024-08-16 Ofer Naaman , Ted White , Mohamed Awida Hassan , Derek Slater , Sean Mcilvane , Edwin Yeung , Philip Krantz

Mixed discrete-continuous optimization is central to engineering design, where discrete choices interact with continuous fields. These problems are difficult due to high-dimensional, complex search spaces. To tackle them, Quantum Annealing…

Computational Engineering, Finance, and Science · Computer Science 2026-03-19 Fabian Key , Lukas Freinberger , Mayu Muramatsu , Norbert Hosters

Quasiparticle excitations adversely affect the performance of superconducting devices in a wide range of applications. They limit the sensitivity of photon detectors in astronomy, the accuracy of current sources in metrology, the cooling…

Mesoscale and Nanoscale Physics · Physics 2013-05-29 D. Ristè , C. C. Bultink , M. J. Tiggelman , R. N. Schouten , K. W. Lehnert , L. DiCarlo

Quantum annealing is a method developed to solve combinatorial optimization problems by utilizing quantum bits. Solving such problems corresponds to minimizing a cost function defined over binary variables. However, in many practical cases,…

Quantum Physics · Physics 2025-06-26 Seiya Endo , Shohei Kawakatsu , Hiromichi Matsuyama , Kohei Suzuki , Yuichiro Matsuzaki

We propose a coupling scheme for the three-Josephson junction qubits which uses a connecting loop, but not mutual inductance. Present scheme offers the advantages of a large and tunable level splitting in implementing the controlled-NOT…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 Mun Dae Kim , Jongbae Hong