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The binomial code is renowned for its parity-mediated loss immunity and loss-error recoverability, while geometric phases are widely recognized for their intrinsic resilience against noise. Capitalizing on their complementary merits, we…

Quantum Physics · Physics 2026-03-19 Dong-Sheng Li , Yang Xiao , Yu Wang , Yang Liu , Zhi-Cheng Shi , Ye-Hong Chen , Yi-Hao Kang , Yan Xia

We present a quantum algorithm for adiabatic state preparation on a gate-based quantum computer, with complexity polylogarithmic in the inverse error. Our algorithm digitally simulates the adiabatic evolution between two self-adjoint…

Quantum Physics · Physics 2022-03-04 Kianna Wan , Isaac H. Kim

In a recent Letter [Phys. Rev. Lett. {\bf 95}, 080502 (2005)], an interesting scheme was proposed to implement a type of conditional quantum phase gates with built-in fault-tolerant feature via adiabatic evolution of dark eigenstates. In…

Quantum Physics · Physics 2007-05-23 Shi-Liang Zhu , Z. D. Wang

We review our work on the interplay between non-resonant gates and solid state environment in various solid state quantum computer architectures and the resulting gate errors. Particular, we show that adiabatic condition can be satisfied in…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Xuedong Hu , S. Das Sarma

Non-adiabatic holonomic quantum gate in decoherence-free subspaces is of greatly practical importance due to its built-in fault tolerance, coherence stabilization virtues, and short run-time. Here we propose some compact schemes to…

Quantum Physics · Physics 2016-01-12 Shi Hu , Wen-Xue Cui , Qi Guo , Hong-Fu Wang , Ai-Dong Zhu , Shou Zhang

Non-adiabatic holonomic quantum computation is a method used to implement high-speed quantum gates with non-Abelian geometric phases associated with paths in state space. Due to their noise tolerance, these phases can be used to construct…

Quantum Physics · Physics 2022-12-06 Tomas André , Erik Sjöqvist

Quantum computing in terms of geometric phases, i.e. Berry or Aharonov-Anandan phases, is fault-tolerant to a certain degree. We examine its implementation based on Zeeman coupling with a rotating field and isotropic Heisenberg interaction,…

Quantum Physics · Physics 2009-11-13 Yu Shi

High-fidelity two-qubit entangling gates are essential building blocks for fault-tolerant quantum computers. Over the past decade, tremendous efforts have been made to develop scalable high-fidelity two-qubit gates with superconducting…

Quantum Physics · Physics 2021-11-12 Ji Chu , Fei Yan

Hybrid qubits have recently drawn intensive attention in quantum computing. We here propose a method to implement a universal controlled-phase gate of two hybrid qubits via two three-dimensional (3D) microwave cavities coupled to a…

Quantum Physics · Physics 2019-10-23 Chui-Ping Yang , Zhen-Fei Zheng , Yu Zhang

We study an architecture for implementing adiabatic quantum computation with trapped neutral atoms. Ground state atoms are dressed by laser fields in a manner conditional on the Rydberg blockade mechanism, thereby providing the requisite…

Adiabatic optimal control schemes are essential for advancing the practical implementation of quantum technologies. However, the vast array of possible adiabatic protocols, combined with their dependence on the particular quantum system and…

We present a scheme for implementing the unconventional geometric two-qubit phase gate with nonzero dynamical phase by using the two-channel Raman interaction of two atoms in a cavity. We show that the dynamical phase acquired in a cyclic…

Quantum Physics · Physics 2009-11-13 Xun-Li Feng , Zisheng Wang , Chunfeng Wu , L. C. Kwek , C. H. Oh

Cavity-based large scale quantum information processing (QIP) may involve multiple cavities and require performing various quantum logic operations on qubits distributed in different cavities. Geometric-phase-based quantum computing has…

Quantum Physics · Physics 2016-03-15 Tong Liu , Xiao-Zhi Cao , Qi-Ping Su , Shao-Jie Xiong , Chui-Ping Yang

Distributed quantum computing offers a potential solution to the complexity of superconducting chip hardware layouts and error correction algorithms. High-quality gates between distributed chips enable the simplification of existing error…

Quantum Physics · Physics 2025-11-04 Yunan Li , Xi Zhang , Weixin Zhang , Ruonan Guo , Yu Zhang , Xinsheng Tan , Yang Yu

The method of iterated resolvents is used to obtain an effective Hamiltonian for neighbouring qubits in the Kane solid state quantum computer. In contrast to the adiabatic gate processes inherent in the Kane proposal we show that free…

Quantum Physics · Physics 2009-11-07 C. Wellard , L. C. L. Hollenberg , H. C. Pauli

Adiabatic quantum transistors allow quantum logic gates to be performed by applying a large field to a quantum many-body system prepared in its ground state, without the need for local control. The basic operation of such a device can be…

Quantum Physics · Physics 2015-05-18 Dominic J. Williamson , Stephen D. Bartlett

We present a method of implementing ultrafast two-qubit gates valid for the ultrastrong coupling (USC) and deep strong coupling (DSC) regimes of light-matter interaction, considering state-of-the-art circuit quantum electrodynamics (QED)…

Quantum Physics · Physics 2015-05-30 G. Romero , D. Ballester , Y. M. Wang , V. Scarani , E. Solano

We propose a robust scheme involving atoms fixed in an optical cavity to directly implement the universal controlled-unitary gate. The present technique based on adiabatic passage uses novel dark states well suited for the…

Quantum Physics · Physics 2009-11-13 X. Lacour , N. Sangouard , S. Guerin , H. R. Jauslin

We introduce a class of quantum adiabatic evolutions that we claim may be interpreted as the equivalents of the unitary gates of the quantum gate model. We argue that these gates form a universal set and may therefore be used as building…

Quantum Physics · Physics 2015-02-19 Itay Hen

We propose a non-adiabatic scheme for geometric quantum computation with trapped ions. By making use of the Aharonov-Anandan phase, the proposed scheme not only preserves the globally geometric nature in quantum computation, but also…

Quantum Physics · Physics 2009-11-07 Xin-Qi Li , Li-Xiang Cen , Guo-Xiang Huang , Lei Ma , YiJing Yan
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