Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Log inSign up
Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Blog
Job Board
Q3AS

© 2026 Aqora Quantum S.A.S.

TermsPrivacyLegal Notice

Springer eBooks

Adiabatic and Nonadiabatic Protection from Decoherence

S. Pellegrin, E. Brion, Claudia K. A. Mewes, L. B. Ioffe, Gershon Kurizki

Published Dec 13, 2005• 0 citations
Publisher
DOI
10.1007/1-4020-3283-8_12

Related papers

Nonadiabatic processes in Majorana qubit systems

Mathias S. Scheurer, Alexander Shnirman

We investigate the nonadiabatic processes occurring during the manipulations of Majorana qubits in one-dimensional semiconducting wires with proximity-induced superconductivity. Majorana qubits are usually protected by the excitation gap. Yet, manipulations performed at a finite pace can introduce both decoherence and renormalization effects. Although exponentially small for slow manipulations, these effects are important as they may constitute the ultimate decoherence mechanism. Moreover, as adiabatic topological manipulations fail to produce a universal set of quantum gates, nonadiabatic manipulations might be necessary to perform quantum computation.

arXiv:1305.4923•Physical Review B•Aug 30, 2013•83 citations

Adiabatic Decoherence

Dima Mozyrsky, Vladimir Privman A

arXiv:quant-ph/9709020•Journal of Statistical Physics•May 1, 1998•81 citations

Universal nonadiabatic geometric gates protected by dynamical decoupling

X. Wu, P. Z. Zhao

Dynamical decoupling provides an effective method to protect nonadiabatic geometric quantum computation against environment-induced decoherence. Although some dynamical-decoupling-protected nonadiabatic geometric gates were proposed, they need to combine some other dynamical gates to perform universal quantum computation. In this paper we propose a scheme to realize a universal set of dynamical-decoupling-protected nonadiabatic geometric gates, which not only possesses the resilience to environment-induced decoherence but also allows us to perform universal quantum computation all by geometric operations.

Physical Review A•Sep 29, 2020•23 citations

Adiabatic limits and quantum decoherence

Rolando Rebolledo, Dominique Spehner

•Oct 4, 2006•0 citations

Adiabatic limits and quantum decoherence

Rolando Rebolledo, Dominique Spehner

•Dec 1, 2007•2 citations

Coherence-protected nonadiabatic geometric quantum computation

K. Z. Li, Guofu Xu, D. M. Tong

Because of using geometric phases, nonadiabatic geometric gates have robustness against control errors.On the other hand, decoherence still affects nonadiabatic geometric gates, which is a key factor in reducing their fidelities.In this paper, we show that based on the system Hamiltonian that realizes a nonadiabatic geometric gate, one may construct a system Hamiltonian by the use of which not only the geometric feature of the nonadiabatic geometric gate is preserved, but also the system's coherence is protected.As a result, a coherence-protected nonadiabatic geometric gate is realized with this system Hamiltonian, and this gate has robustness against both control errors and decoherence.We further implement our scheme with nitrogen-vacancy centers and show that a universal set of coherence-protected nonadiabatic geometric gates can be realized.Our scheme does not need auxiliary systems or the encoding of logical qubits with physical qubits, which saves resources for the implementation.Due to the robustness against both control errors and decoherence, our scheme provides a promising way to realize high-fidelity quantum gates.

arXiv:2205.02693•Physical Review Research•May 10, 2021•7 citations
We investigate the nonadiabatic processes occurring during the manipulations of Majorana qubits in one-dimensional semiconducting wires with proximity-induced superconductivity. Majorana qubits are usually protected by the excitation gap. Yet, manipulations performed at a finite pace can introduce both decoherence and renormalization effects. Although exponentially small for slow manipulations, these effects are important as they may constitute the ultimate decoherence mechanism. Moreover, as adiabatic topological manipulations fail to produce a universal set of quantum gates, nonadiabatic manipulations might be necessary to perform quantum computation.
Dynamical decoupling provides an effective method to protect nonadiabatic geometric quantum computation against environment-induced decoherence. Although some dynamical-decoupling-protected nonadiabatic geometric gates were proposed, they need to combine some other dynamical gates to perform universal quantum computation. In this paper we propose a scheme to realize a universal set of dynamical-decoupling-protected nonadiabatic geometric gates, which not only possesses the resilience to environment-induced decoherence but also allows us to perform universal quantum computation all by geometric operations.
Because of using geometric phases, nonadiabatic geometric gates have robustness against control errors.On the other hand, decoherence still affects nonadiabatic geometric gates, which is a key factor in reducing their fidelities.In this paper, we show that based on the system Hamiltonian that realizes a nonadiabatic geometric gate, one may construct a system Hamiltonian by the use of which not only the geometric feature of the nonadiabatic geometric gate is preserved, but also the system's coherence is protected.As a result, a coherence-protected nonadiabatic geometric gate is realized with this system Hamiltonian, and this gate has robustness against both control errors and decoherence.We further implement our scheme with nitrogen-vacancy centers and show that a universal set of coherence-protected nonadiabatic geometric gates can be realized.Our scheme does not need auxiliary systems or the encoding of logical qubits with physical qubits, which saves resources for the implementation.Due to the robustness against both control errors and decoherence, our scheme provides a promising way to realize high-fidelity quantum gates.