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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

We study quantum phase-slip (QPS) processes in a superconducting ring containing N Josephson junctions and threaded by an external static magnetic flux. In a such system, a QPS consists of a quantum tunneling event connecting two distinct…

Superconductivity · Physics 2015-03-19 G. Rastelli , I. M. Pop , F. W. J. Hekking

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

We theoretically propose a circuit of the four-body coupler for superconducting qubits based on Josephson parametric oscillators (JPOs). Our coupler for the four-body interaction has a superconducting loop, similar to a capacitively shunted…

Quantum Physics · Physics 2025-06-30 Ryoji Miyazaki , Tsuyoshi Yamamoto

DC-voltage-biased Josephson junctions have been recently employed in superconducting circuits for Hamiltonian engineering, demonstrating microwave amplification, single photon sources and entangled photon generation. Compared to more…

Quantum Physics · Physics 2026-05-19 Thiziri Aissaoui , Anil Murani , Raphaël Lescanne , Alain Sarlette

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 discuss a measurement-based implementation of a controlled-NOT (CNOT) quantum gate. Such a gate has recently been discussed for free electron qubits. Here we extend this scheme for qubits encoded in product states of two (or more)…

Mesoscale and Nanoscale Physics · Physics 2011-11-10 Oded Zilberberg , Bernd Braunecker , Daniel Loss

By coupling pairs of superconducting qubits through a small Josephson junction with a time-dependent flux bias, we show that arbitrary interactions involving any combination of Pauli matrices can be generated with a small number of drive…

Quantum Physics · Physics 2015-07-08 Eliot Kapit

The promise of tremendous computational power, coupled with the development of robust error-correcting schemes, has fuelled extensive efforts to build a quantum computer. The requirements for realizing such a device are confounding:…

Quantum Physics · Physics 2011-08-17 J L O'Brien , G J Pryde , A G White , T C Ralph , D Branning

Two-qubit quantum gates play an essential role in quantum computing, whose operation critically depends on the entanglement between two qubits. Resonantly driven controlled-NOT (CNOT) gates based on silicon double quantum dots (DQDs) are…

Mesoscale and Nanoscale Physics · Physics 2018-09-11 Tong Wu , Jing Guo

Josephson current of spin-entangled electrons through the two branches of a SQUID-like structure with two quantum dots exhibits a magnetic-flux response different from the conventional Josephson current. Due to their interference, the…

Superconductivity · Physics 2011-11-15 Zhi Wang , Xiao Hu

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

We present a quantum computing scheme with atomic Josephson junction arrays. The system consists of a small number of atoms with three internal states and trapped in a far-off resonant optical lattice. Raman lasers provide the "Josephson"…

Quantum Physics · Physics 2011-07-26 Lin Tian , P. Zoller

Quantum logic gates must perform properly when operating on their standard input basis states, as well as when operating on complex superpositions of these states. Experiments using superconducting qubits have validated the truth table for…

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

Superconducting qubits are solid state electrical circuits fabricated using techniques borrowed from conventional integrated circuits. They are based on the Josephson tunnel junction, the only non-dissipative, strongly non-linear circuit…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 M. H. Devoret , A. Wallraff , J. M. Martinis

New computing technologies are being sought near the end of CMOS transistor scaling, meanwhile superconducting digital, i.e., single-flux quantum (SFQ), logic allows incredibly efficient gates which are relevant to the impending transition.…

Mesoscale and Nanoscale Physics · Physics 2018-11-16 Kevin D. Osborn , Waltraut Wustmann

Large-scale quantum computers will require quantum gate operations between widely separated qubits. A method for implementing such operations, known as quantum gate teleportation (QGT), requires only local operations, classical…

We apply the quantum optimal control theory based on the Krotov method to implement single-qubit $X$ and $Z$ gates and two-qubit CNOT gates for inductively coupled superconducting flux qubits with fixed qubit transition frequencies and…

Quantum Physics · Physics 2014-07-16 Shang-Yu Huang , Hsi-Sheng Goan

We analyze the coupling of qubits mediated by a tunable and fast element beyond the adiabatic approximation. The nonadiabatic corrections are important and even dominant in parts of the relevant parameter range. As an example, we consider…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Carsten Hutter , Alexander Shnirman , Yuriy Makhlin , Gerd Schön
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