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Non-Abelian geometric phases can be generated and detected in certain superconducting nanocircuits. Here we consider an example where the holonomies are related to the adiabatic charge dynamics of the Josephson network. We demonstrate that…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 Lara Faoro , Jens Siewert , Rosario Fazio

Adiabatic $U(2)$ geometric phases are studied for arbitrary quantum systems with a three-dimensional Hilbert space. Necessary and sufficient conditions for the occurrence of the non-Abelian geometrical phases are obtained without actually…

Quantum Physics · Physics 2008-11-26 Ali Mostafazadeh

A general scheme for an adiabatic geometric phase gate is proposed which is maximally robust against parameter fluctuations. While in systems with SU(2) symmetry geometric phases are usually accompanied by dynamical phases and are thus not…

Quantum Physics · Physics 2009-11-10 R. G. Unanyan , M. Fleischhauer

On the basis of generations of 1-dimensional and 2-dimensional graph states, we generate a 3-dimensional N3-qubit graph state based on the Josephson charge qubits. Since any two charge qubits can be selectively and effectively coupled by a…

Superconductivity · Physics 2007-05-23 Xiao-Hu Zheng , Zhuo-Liang Cao

The Josephson junction phase qubit has been shown to be a viable candidate for quantum computation. In recent years, the two coupled phase system has been extensively studied theoretically and experimentally. We have analyzed the quantum…

Superconductivity · Physics 2009-08-21 Zechariah E. Thrailkill , S. T. Kennerly , R. C. Ramos

Universal single-qubit operations based on purely geometric phase factors in adiabatic processes are demonstrated by utilizing a four-level system in a trapped single $^{40}$Ca$^+$ ion connected by three oscillating fields. Robustness…

Quantum Physics · Physics 2013-08-16 K. Toyoda , K. Uchida , A. Noguchi , S. Haze , S. Urabe

The topological properties of adiabatic gauge fields for multi-level (three-level in particular) quantum systems are studied in detail. Similar to the result that the adiabatic gauge field for SU(2) systems (e.g. two-level quantum system or…

Quantum Physics · Physics 2009-11-13 Zheng-Xin Liu , Xiao-Ting Zhou , Xin Liu , Xiong-Jun Liu , Jing-Ling Chen

We propose a superconducting phase qubit on the basis of the radio-frequency SQUID with the screening parameter value $\beta_L = (2\pi/\Phi_0)LI_c \approx 1$, biased by a half flux quantum $\Phi_e=\Phi_0/2$. Significant anharmonicity ($>…

Superconductivity · Physics 2010-01-06 A. B. Zorin , F. Chiarello

The superconducting phase qubit combines Josephson junctions into superconducting loops and defines one of the promising solid state device implementations for quantum computing. While conventional designs are based on magnetically…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 G. Blatter , V. B. Geshkenbein , L. Ioffe

There are two elementary superconducting qubit types that derive directly from the quantum harmonic oscillator. In one the inductor is replaced by a nonlinear Josephson junction to realize the widely used charge qubits with a compact phase…

The nonadiabatic geometric quantum computation may be achieved using coupled low-capacitance Josephson juctions. We show that the nonadiabtic effects as well as the adiabatic condition are very important for these systems. Moreover, we find…

Quantum Physics · Physics 2009-11-07 Shi-Liang Zhu , Z. D. Wang

We have incorporated a single crystal silicon shunt capacitor into a Josephson phase qubit. The capacitor is derived from a commercial silicon-on-insulator wafer. Bosch reactive ion etching is used to create a suspended silicon membrane;…

Superconductivity · Physics 2015-06-11 U. Patel , Y. Gao , D. Hover , G. J. Ribeill , S. Sendelbach , R. McDermott

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

We use shortcuts to adiabaticity, a method introduced to speed up adiabatic quantum dynamics, for the efficient generation of entanglement between exciton-polaritons in coupled semiconductor microcavities. A substantial improvement is…

Mesoscale and Nanoscale Physics · Physics 2018-07-10 Dionisis Stefanatos , Emmanuel Paspalakis

We have developed a novel Josephson junction geometry with minimal volume of lossy isolation dielectric, being suitable for higher quality trilayer junctions implemented in qubits. The junctions are based on in-situ deposited trilayers with…

By attributing a circulating Josephson current induced diamagnetic moment to a SQUID-type three-level qubit, a wireless connection between such qubits is proposed based only on dipole-dipole interaction between their moments. The estimates…

Superconductivity · Physics 2010-08-30 Sergei Sergeenkov , Giacomo Rotoli

Treating a many-body Fermi system in terms of a single particle in a deforming mean field. We relate adiabatic geometric phase to susceptibility for the noncyclic case, and to its derivative for the cyclic case. Employing the semiclassical…

chao-dyn · Physics 2009-10-31 Sudhir R. Jain , Arun K. Pati

We propose a scheme to implement the two-qubit quantum phase gate with Josephson-junction charge qubits in a thermal cavity. In this scheme, the photon-number-dependent parts in the time evolution operator are canceled at the special time.…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 xubo zou

A recently proposed scheme for the analytical treatment of the dynamics of two-dimensional hybrid Josephson junction arrays is extended to a class of generalized hybrid arrays with ''horizontal'' shunts involving a capacitive as well as an…

Condensed Matter · Physics 2009-10-28 Michael Basler , Wolfram Krech , Konstantin Yu. Platov

An adiabatic cyclic evolution of control parameters of a quantum system ends up with a holonomic operation on the system, determined entirely by the geometry in the parameter space. The operation is given either by a simple phase factor (a…

Quantum Physics · Physics 2014-01-23 Mahn-Soo Choi
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