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An effective Hamiltonian is derived for two coupled three-Josephson-junction (3JJ) qubits. This is not quite trivial, for the customary "free" 3JJ Hamiltonian is written in the limit of zero inductance L. Neglecting the self-flux is already…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Alec Maassen van den Brink

Flux qubits, small superconducting loops interrupted by Josephson junctions, are successful realizations of quantum coherence for macroscopic variables. Superconductivity in these loops is carried by $\sim 10^6$ -- $10^{10}$ electrons,…

Quantum Physics · Physics 2015-05-14 J. I. Korsbakken , F. K. Wilhelm , K. B. Whaley

We describe how to implement quantum logic operations in a silicon-based quantum computer with phosphorus atoms serving as qubits. The information is stored in the states of nuclear spins and the conditional logic operations are implemented…

Quantum Physics · Physics 2007-05-23 G. P. Berman , G. W. Brown , M. E. Hawley , D. I. Kamenev , V. I. Tsifrinovich

Quantum algorithm design usually assumes access to a perfect quantum computer with ideal properties like full connectivity, noise-freedom and arbitrarily long coherence time. In Noisy Intermediate-Scale Quantum (NISQ) devices, however, the…

Quantum Physics · Physics 2020-09-11 Xiangzhen Zhou , Sanjiang Li , Yuan Feng

As the field of quantum computing progresses to larger-scale devices, multiplexing will be crucial to scale quantum processors. While multiplexed readout is common practice for superconducting devices, relatively little work has been…

In recent years, the quantum computing community has seen an explosion of novel methods to implement non-trivial quantum computations on near-term hardware. An important direction of research has been to decompose an arbitrary entangled…

Quantum Physics · Physics 2021-11-24 Harsha Nagarajan , Owen Lockwood , Carleton Coffrin

Planar Josephson junctions (JJs), based on common superconductors and III-V semiconductors, are sought for Majorana states and fault-tolerant quantum computing. However, with gate-tunable spin-orbit coupling (SOC), we show that the range of…

Superconductivity · Physics 2024-07-03 David Monroe , Chenghao Shen , Dario Tringali , Mohammad Alidoust , Tong Zhou , Igor Žutić

We investigate a bosonic Josephson junction by using the path-integral formalism with relative phase and population imbalance as dynamical variables. We derive an effective only-phase action performing functional integration over the…

Quantum Gases · Physics 2022-04-15 Koichiro Furutani , Jacques Tempere , Luca Salasnich

Here one can find a derivation of the commutator of the charge and magnetic flux in a superconducting circuit containing a Josephson junction from the commutation relation of quantum-field operators of electric field and vector potential. A…

Quantum Physics · Physics 2020-03-10 Mikhail A. Savrov

A brief review is given of the physical implementation of quantum computation within spin systems or other two-state quantum systems. The importance of the controlled-NOT or quantum XOR gate as the fundamental primitive operation of quantum…

Mesoscale and Nanoscale Physics · Physics 2009-10-28 David P. DiVincenzo

A quantum coherent capacitor subject to large amplitude pulse cycles can be made to emit or reabsorb an electron in each half cycle. Quantized currents with pulse cycles in the GHz range have been demonstrated experimentally. We develop a…

Mesoscale and Nanoscale Physics · Physics 2008-02-27 M. Moskalets , P. Samuelsson , M. Buttiker

We show that a superconducting circuit containing two loops, when treated with Macroscopic Quantum Coherence (MQC) theory, constitutes a complete two-bit quantum computer. The manipulation of the system is easily implemented with…

Quantum Physics · Physics 2007-05-23 Hide Akisato

Quantum arithmetic logic units (QALUs) constitute a fundamental component of quantum computing. However, the implementation of QALUs on near-term quantum computers remains a substantial challenge, largely due to the limited connectivity of…

Quantum Physics · Physics 2024-09-20 Junxu Li

We propose a fluxon-controlled quantum computer incorporated with three-qubit quantum error correction using special gate operations, i.e., joint-phase and SWAP gate operations, inherent in capacitively coupled superconducting flux qubits.…

Quantum Physics · Physics 2009-05-15 Toshiyuki Fujii , Shigemasa Matsuo , Noriyuki Hatakenaka

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

This article demonstrates a new kind of programmable logic for the representation of an integer that can be used for the programmable Josephson voltage standard. It can enable the numbers of junctions in most bits to be variable integer…

Emerging Technologies · Computer Science 2024-08-15 Wenhui Cao , Erkun Yang , Jinjin Li , Guanhua She , Yuan Zhong , Qing Zhong , Da Xu , Xueshen Wang , Xiaolong Xu , Shijian Wang , Jian Chen

The development of quantum computing technologies builds on the unique features of quantum physics while borrowing familiar principles from the design of conventional devices. We introduce the fundamental concepts required for designing and…

Circuit quantization is an extraordinarily successful theory that describes the behavior of quantum circuits with high precision. The most widely used approach of circuit quantization relies on introducing a classical Lagrangian whose…

Quantum Physics · Physics 2024-04-12 Andrew Osborne , Trevyn Larson , Sarah Jones , Ray W. Simmonds , András Gyenis , Andrew Lucas

We establish a formal bridge between qubit-based and photonic quantum computing. We do this by defining a functor from the ZX calculus to linear optical circuits. In the process we provide a compositional theory of quantum linear optics…

Quantum Physics · Physics 2023-11-16 Giovanni de Felice , Bob Coecke

Josephson junction circuits, such as superconducting quantum interference devices (SQUIDs) and single-flux-quantum (SFQ) circuits, have been successfully applied in both analog and digital electronic domains. They are considered to be…

Superconductivity · Physics 2022-10-24 Yongliang Wang
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