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While all quantum algorithms can be expressed in terms of single-qubit and two-qubit gates, more expressive gate sets can help reduce the algorithmic depth. This is important in the presence of gate errors, especially those due to…

We propose a universal gate set for quantum computing that operates in the presence of decoherence without the overhead of active error correction. We show that a broad class of anisotropic system--bath couplings can be effectively…

Quantum Physics · Physics 2026-03-27 Yang-Yang Xie , Zhao-Ming Wang , Lian-Ao Wu

We theoretically consider possible errors in solid state quantum computation due to the interplay of the complex solid state environment and gate imperfections. In particular, we study two examples of gate operations in the opposite ends of…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 Xuedong Hu , S. Das Sarma

The information in quantum computers is often stored in identical two-level systems (spins or pseudo-spins) that are separated by a distance shorter than the characteristic wavelength of a reservoir which is responsible for decoherence. In…

Quantum Physics · Physics 2016-09-08 Shoko Utsunomiya , Cyrus P. Master , Yoshihisa Yamamoto

Decoherence of a solid state based qubit can be caused by coupling to microscopic degrees of freedom in the solid. We lay out a simple theory and use it to estimate decoherence for a recently proposed superconducting persistent current…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Lin Tian , L. S. Levitov , Caspar H. van der Wal , J. E. Mooij , T. P. Orlando , S. Lloyd , C. J. P. M. Harmans , J. J. Mazo

Near-term quantum computers are limited by the decoherence of qubits to only being able to run low-depth quantum circuits with acceptable fidelity. This severely restricts what quantum algorithms can be compiled and implemented on such…

The control of discrete quantum states in solids and their use for quantum information processing is complicated by the lack of a detailed understanding of the mechanisms responsible for qubit decoherences. For spin qubits in semiconductor…

Mesoscale and Nanoscale Physics · Physics 2015-11-13 A. Bechtold , D. Rauch , F. Li , T. Simmet , P. -L. Ardelt , A. Regler , K. Müller , N. A. Sinitsyn , J. J. Finley

Superconducting quantum devices are a leading technology for quantum computation, but they suffer from several challenges. Gate errors, coherence errors and a lack of connectivity all contribute to low fidelity results. In particular,…

We address a particular instance where open quantum systems may be used as quantum probes for an emergent property of a complex system, as the temperature of a thermal bath. The inherent fragility of the quantum probes against decoherence…

We investigate analytically and numerically the steady-state entanglement and coherence of two coupled qubits each interacting with a local boson or fermion reservoir, based on the Bloch-Redfield master equation beyond the secular…

Quantum Physics · Physics 2019-04-17 Zhihai Wang , Wei Wu , Jin Wang

We investigate the decoherence process for a quantum register composed of N qubits coupled to an environment. We consider an environment composed of one common phonon bath and several electronic baths. This environment is relevant to the…

Quantum Physics · Physics 2009-11-10 B. Ischi , M. Hilke , M. Dube

The dynamics of two superconducting flux qubits coupled to each other and to a common bath is discussed. We focus on the case in which the qubit-qubit coupling strength dominates over the respective qubit transition frequencies. We derive…

Superconductivity · Physics 2015-05-28 K. Xia , M. Macovei , J. Evers

The fidelity of quantum operations is often limited by incoherent errors, which typically can be modeled by fundamental Markovian noise processes such as amplitude damping and dephasing. In Phys. Rev. Lett. 129, 150504 (2022;…

Quantum Physics · Physics 2025-04-08 Tahereh Abad , Yoni Schattner , Anton Frisk Kockum , Göran Johansson

Progress in fabrication of semiconductor and superconductor qubits has greatly diminished the number of decohering defects, thus decreasing the devastating low-frequency $1/f$ noise and extending the qubits' coherence times (dephasing time…

Mesoscale and Nanoscale Physics · Physics 2024-08-23 M. Mehmandoost , V. V. Dobrovitski

In superconducting quantum circuits, decoherence errors in qubits constitute a critical factor limiting quantum gate performance. To mitigate decoherence-induced gate infidelity, rapid implementation of quantum gates is essential. Here we…

We propose a geometric phase gate in a decoherence-free subspace with trapped ions. The quantum information is encoded in the Zeeman sublevels of the ground-state and two physical qubits to make up one logical qubit with ultra long…

Quantum Physics · Physics 2015-05-14 Peter A. Ivanov , Ulrich G. Poschinger , Kilian Singer , Ferdinand Schmidt-Kaler

Confined electron spins are preferred candidates for embodying quantum information in the solid state. A popular idea is the use of optical excitation to achieve the ``best of both worlds'', i.e. marrying the long spin decoherence times…

Quantum Physics · Physics 2009-11-13 Erik M. Gauger , Simon C. Benjamin , Ahsan Nazir , Brendon W. Lovett

Fast, high-fidelity single and two-qubit gates are essential to building a viable quantum information processor, but achieving both in the same system has proved challenging for spin qubits. We propose and analyze an approach to perform a…

Quantum Physics · Physics 2018-06-13 S. P. Harvey , C. G. L. Bøttcher , L. A. Orona , S. D. Bartlett , A. C. Doherty , A. Yacoby

In this paper we study the decoherence and purity of a driven solid-state qubit in the Ohmic bath by using the method based on the master equation. At first, instead of solving the master equation we investigate the coefficients of the…

Quantum Physics · Physics 2009-11-13 Zhi-Qiang Li , Xian-Ting Liang

A central challenge for implementing quantum computing in the solid state is decoupling the qubits from the intrinsic noise of the material. We investigate the implementation of quantum gates for a paradigmatic, non-Markovian model: A…

Quantum Physics · Physics 2010-04-22 P. Rebentrost , I. Serban , T. Schulte-Herbrueggen , F. K. Wilhelm