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Related papers: Hamiltonian for coupled flux qubits

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We analyze the coupling of two flux qubits with a general many-body projector into the low-energy subspace. Specifically, we extract the effective Hamiltonians that controls the dynamics of two qubits when they are coupled via a capacitor…

Quantum Physics · Physics 2021-12-03 María Hita-Pérez , Gabriel Jaumà , Manuel Pino , Juan José García-Ripoll

We have analyzed and proposed coupling mechanisms between Three Josephson Junction Flux Qubits (3JJQ). For this, we have developed a numerical method to extract the effective Hamiltonian of a system of coupled qubits via the…

Quantum Physics · Physics 2021-10-26 Gabriel Jaumà

The Hamiltonian of a charge qubit, which consists of two Josephson junctions is found within well known quantum mechanical procedure. The inductance of the qubit is included from the very beginning. It allows a selfconsistent derivation of…

Superconductivity · Physics 2007-05-23 Ya. S. Greenberg , W. Krech

We have realized controllable coupling between two three-junction flux qubits by inserting an additional coupler loop between them, containing three Josephson junctions. Two of these are shared with the qubit loops, providing strong…

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

Most superconducting qubits operate in a regime dominated by either the electrical charge or the magnetic flux. Here we study an intermediate case: a hybridized charge-flux qubit with a third Josephson junction (JJ) added into the SQUID…

Superconductivity · Physics 2009-11-10 J. Q. You , J. S. Tsai , Franco Nori

Quantum dot hybrid qubits formed from three electrons in double quantum dots represent a promising compromise between high speed and simple fabrication for solid state implementations of single qubit and two qubits quantum logic ports. We…

Quantum Physics · Physics 2018-09-05 E. Ferraro , M. De Michielis , G. Mazzeo , M. Fanciulli , E. Prati

An optimal effective current operator for flux qubit has been investigated by taking account of the inductive effects of the circuit loop. The whole system is treated as two interacting subsystems: one is the inductance-free flux qubit…

Superconductivity · Physics 2009-04-22 Zheng Li , Tao Wu , Jianshe Liu

The Hamiltonian of persistent current qubit is found within well known quantum mechanical procedure. It allows a selfconsistent derivation of the current operator in a two state basis. It is shown that the current operator is not diagonal…

Superconductivity · Physics 2007-05-23 Ya. S. Greenberg

The non-dissipative non-linearity of a Josephson junction converts macroscopic superconducting circuits into artificial atoms, enabling some of the best controlled quantum bits (qubits) today. Three fundamental types of superconducting…

A superconducting qubit implementation is proposed that takes the advantage of both charge and phase degrees of freedom. Superpositions of flux states in a superconducting loop with three Josephson junctions form the states of the qubit.…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 M. H. S. Amin

We develop a theory for the quantum circuit consisting of a superconducting loop interrupted by four Josephson junctions and pierced by a magnetic flux (either static or time-dependent). In addition to the similarity with the typical…

Quantum Physics · Physics 2016-08-04 Yueyin Qiu , Wei Xiong , Xiao-Ling He , Tie-Fu Li , J. Q. You

Flux-biased loops including one or more Josephson junctions are ubiquitous elements in quantum information experiments based on superconducting circuits. These quantum circuits can be tuned to implement a variety of Hamiltonians, with…

Superconductivity · Physics 2023-09-29 A. Miano , V. R. Joshi , G. Liu , W. Dai , P. D. Parakh , L. Frunzio , M. H. Devoret

Josephson junctions constructed from superconductor-semiconductor-superconductor heterostructures have been used to realize a variety of voltage-tunable superconducting quantum devices, including qubits and parametric amplifiers. To date…

Mesoscale and Nanoscale Physics · Physics 2025-06-03 Utkan Güngördü , Rusko Ruskov , Silas Hoffman , Kyle Serniak , Andrew J. Kerman , Charles Tahan

Galvanic coupling of small-area (three-junction) flux qubits, using shared large Josephson junctions, has been shown to yield appreciable interaction strengths in a flexible design, which does not compromise the junctions' intrinsic good…

Superconductivity · Physics 2007-05-23 Alec Maassen van den Brink

A central problem for implementing efficient quantum computing is how to realize fast operations (both one- and two-bit ones). However, this is difficult to achieve for a collection of qubits, especially for those separated far away,…

Superconductivity · Physics 2009-11-10 J. Q. You , Y. Nakamura , Franco Nori

We consider an interacting quantum dot strongly coupled to two superconducting leads in a Josephson junction geometry. By defining symmetry-adapted superpositions of states from the leads, we formulate an effective Hamiltonian for the…

Mesoscale and Nanoscale Physics · Physics 2024-01-17 Luka Pavešič , Ramón Aguado , Rok Žitko

We have observed coherent time evolution between two quantum states of a superconducting flux qubit comprising three Josephson junctions in a loop. The superposition of the two states carrying opposite macroscopic persistent currents is…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 I. Chiorescu , Y. Nakamura , C. J. P. M. Harmans , J. E. Mooij

For a variety of superconducting qubits, tunable interactions are achieved through mutual inductive coupling to a coupler circuit containing a nonlinear Josephson element. In this paper we derive the general interaction mediated by such a…

Quantum Physics · Physics 2017-07-06 Dvir Kafri , Chris Quintana , Yu Chen , Alireza Shabani , John M. Martinis , Hartmut Neven

Quantum annealing (QA) is a heuristic algorithm for finding low-energy configurations of a system, with applications in optimization, machine learning, and quantum simulation. Up to now, all implementations of QA have been limited to qubits…

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