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Due to its geometric nature, holonomic quantum computation is fault-tolerant against certain types of control errors. Although proposed more than a decade ago, the experimental realization of holonomic quantum computation is still an open…

Quantum Physics · Physics 2013-06-18 Guanru Feng , Guofu Xu , Guilu Long

A simple scheme is presented for realizing robust optically controlled quantum gates for scalable atomic quantum processors by driving the qubits with optical standing waves. Atoms localized close to the antinodes of the standing wave can…

Quantum Physics · Physics 2023-03-15 Shannon Whitlock

High-fidelity multi-qubit initialization is vital for quantum simulation, quantum information processing (QIP), and quantum sensing. In diamond platforms, nuclear spin registers can be initialized through polarization transfer from a nearby…

Quantum Physics · Physics 2026-03-02 Soham Pal , Oliver T. Whaites , Wolfgang Knolle , Tania S. Monteiro , Helena S. Knowles

Solid state quantum computing proposals rely on adiabatic operations of the exchange gate among localized spins in nanostructures. We study corrections to the Heisenberg interaction between lateral semiconductor quantum dots in an external…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 V. W. Scarola , S. Das Sarma

We propose a new scheme for individual addressing of trapped ion qubits, selecting them via their motional frequency. We show that geometric phase gates can perform single-qubit rotations using the coherent interference of spin-independent…

Quantum Physics · Physics 2023-04-10 R. T. Sutherland , R. Srinivas , D. T. C. Allcock

We use microwave induced adiabatic passages for selective spin flips within a string of optically trapped individual neutral Cs atoms. We position-dependently shift the atomic transition frequency with a magnetic field gradient. To flip the…

Adiabatic or slowly varying gate operations are typically required in order to remain within the qubit subspace in an anharmonic oscillator. However significant speed ups are possible by using the two quadrature…

Quantum Physics · Physics 2015-09-29 Amrit De

The "Lewis-Riesenfeld phases" which plays a crucial role in constructing shortcuts to adiabaticity may be a resource for the implementation of quantum phase gates. By combining "Lewis-Riesenfeld invariant" with "quantum Zeno dynamics", we…

Quantum Physics · Physics 2015-05-19 Ye-Hong Chen , Yan Xia , Qing-Qin Chen , Jie Song

Shortcuts to adiabaticity is a general method for speeding up adiabatic quantum protocols, and has many potential applications in quantum information processing. Unfortunately, analytically constructing shortcuts to adiabaticity for systems…

Quantum Physics · Physics 2021-07-13 F. Setiawan , Peter Groszkowski , Hugo Ribeiro , Aashish A. Clerk

We show that a noncyclic phase of geometric origin has to be included in the approximate adiabatic wave function. The adiabatic noncyclic geometric phase for systems exhibiting a conical intersection as well as for an Aharonov-Bohm…

Quantum Physics · Physics 2009-10-31 Gonzalo Garcia de Polavieja , Erik Sjoeqvist

Nonadiabatic holonomic quantum computation uses non-Abelian geometric phases to implement a universal set of quantum gates that are robust against control imperfections and decoherence. Until now, a number of three-level-based schemes of…

Quantum Physics · Physics 2018-11-16 G. F. Xu , D. M. Tong , Erik Sjöqvist

Adiabatic passage is a standard tool for achieving robust transfer in quantum systems. We show that, in the context of driven nonlinear Hamiltonian systems, adiabatic passage becomes highly non-robust when the target is unstable. We show…

Quantum Physics · Physics 2020-11-11 Jing-Jun Zhu , Xi Chen , Hans-Rudolf Jauslin , Stéphane Guérin

The spin in a rotating frame has attracted a lot of attentions recently, as it deeply relates to both fundamental physics such as pseudo-magnetic field and geometric phase, and applications such as gyroscopic sensors. However, previous…

Quantum Physics · Physics 2019-04-02 Xing-Yan Chen , Tongcang Li , Zhang-qi Yin

Geometric phases are well known to be noise-resilient in quantum evolutions/operations. Holonomic quantum gates provide us with a robust way towards universal quantum computation, as these quantum gates are actually induced by nonabelian…

Quantum Physics · Physics 2018-05-11 Zhuo-Ping Hong , Bao-Jie Liu , Jia-Qi Cai , Xin-Ding Zhang , Yong Hu , Z. D. Wang , Zheng-Yuan Xue

A geometric phase is found for a general quantum state that undergoes adiabatic evolution. For the case of eigenstates, it reduces to the original Berry's phase. Such a phase is applicable in both linear and nonlinear quantum systems.…

Quantum Physics · Physics 2007-05-23 Biao Wu , Jie Liu , Qian Niu

A magnetically trapped atom experiences an adiabatic geometric (Berry's) phase due to changing field direction. We investigate theoretically such an Aharonov-Bohm-like geometric phase for atoms adiabatically moving inside a storage ring as…

Quantum Physics · Physics 2009-11-13 P. Zhang , L. You

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

Nonadiabatic holonomic quantum computation has robust feature in suppressing control errors because of its holonomic feature. However, this kind of robust feature is challenged since the usual way of realizing nonadiabatic holonomic gates…

Quantum Physics · Physics 2017-06-14 G. F. Xu , P. Z. Zhao , T. H. Xing , Erik Sjöqvist , D. M. Tong

Achieving high-fidelity two-qubit gates is crucial for spin qubits in silicon double quantum dots. However, the two-qubit gates in experiments are easily suffered from charge noise, which is still a key challenge. Geometric gates which…

Quantum Physics · Physics 2024-09-04 Yong-Yang Lu , Kejin Wei , Chengxian Zhang

Arrays of neutral atoms have emerged as promising platforms for quantum computing. Realization of high-fidelity two-qubit gates with robustness is currently a significant important task for large-scale operations. In this paper, we present…