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We consider a periodically driven system where the high-frequency driving protocol consists of a sequence of potentials switched on and off at different instants within a period. We explore the possibility of introducing an adiabatic…

Quantum Physics · Physics 2025-02-26 Ashwin Murali , Tapomoy Guha Sarkar , Jayendra N. Bandyopadhyay

Efficient control schemes that enable fast, high-fidelity operations are essential for any practical quantum computation. However, current optimization protocols are intractable due to stringent requirements imposed by the microscopic…

Quantum Physics · Physics 2025-11-13 Christian Ventura Meinersen , Stefano Bosco , Maximilian Rimbach-Russ

We study the performance of holonomic quantum gates, driven by lasers, under the effect of a dissipative environment modeled as a thermal bath of oscillators. We show how to enhance the performance of the gates by suitable choice of the…

Quantum Physics · Physics 2009-11-13 Daniele Parodi , Maura Sassetti , Paolo Solinas , Nino Zanghì

A shortcut-to-adiabaticity is compared with a numerically optimized protocol for implementing a high-fidelity quantum gate on Rydberg atoms. The counterdiabatic method offers an analytical framework for accelerating high-fidelity gates by…

Quantum Physics · Physics 2025-11-13 Luis S. Yagüe Bosch , Sandro Wimberger

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

High-fidelity qubit initialization is of significance for efficient error correction in fault tolerant quantum algorithms. Combining two best worlds, speed and robustness, to achieve high-fidelity state preparation and manipulation is…

Quantum Physics · Physics 2019-04-09 Ying Yan , Yi Chao Li , Adam Kinos , Andreas Walther , Chunyan Shi , Lars Rippe , Joel Moser , Stefan Kröll , Xi Chen

The design of quantum control methods has been shown to greatly improve the performance of many evolving quantum technologies. To this end, the usage of adiabatic dynamics to drive quantum systems is seriously limited by the action of…

Quantum Physics · Physics 2020-02-12 Bertúlio de Lima Bernardo

A simple protocol based on low-weight Pauli Hamiltonians is introduced for performing quantum gates that are robust to control noise. Gates are implemented by an adiabatic sequence of single-qubit fields and two-qubit interactions with a…

Quantum Physics · Physics 2017-11-03 Ryan J. Epstein

We describe a general methodology for enhancing the efficiency of adiabatic quantum computations (AQC). It consists of homotopically deforming the original "Hamiltonian surface" in a way that the redistribution of the Gaussian curvature…

Quantum Physics · Physics 2019-03-06 Raouf Dridi , Hedayat Alghassi , Sridhar Tayur

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

Fast robust two-qubit gate operation with low susceptibility to crosstalk are the key to scalable quantum information processing. Parametrically driven gate is inherently insensitive to crosstalk while superadiabatic control can speed up…

The geometric aspects of quantum mechanics are underlined most prominently by the concept of geometric phases, which are acquired whenever a quantum system evolves along a closed path in Hilbert space. The geometric phase is determined only…

Quantum Physics · Physics 2019-08-19 A. A. Abdumalikov , J. M. Fink , K. Juliusson , M. Pechal , S. Berger , A. Wallraff , S. Filipp

The proposal of the optical scheme for holonomic quantum computation is evaluated based on dynamical resolution to the system beyond adiabatic limitation. The time-dependent Schr\"{o}dinger equation is exactly solved by virtue of the…

Quantum Physics · Physics 2007-05-23 LiXiang Cen , XinQi Li , YiJing Yan , HouZhi Zheng , ShunJin Wang

Shortcuts to adiabaticity (STA) are powerful quantum control methods, allowing quick evolution into target states of otherwise slow adiabatic dynamics. Such methods have widespread applications in quantum technologies, and various STA…

Quantum Physics · Physics 2022-02-02 Zelong Yin , Chunzhen Li , Jonathan Allcock , Yicong Zheng , Xiu Gu , Maochun Dai , Shengyu Zhang , Shuoming An

Quantum control techniques are employed to perform adiabatic quantum computing in the presence of noise. First, we analyze the adiabatic entanglement protocol (AEP) for two qubits. In this case, we found that this protocol is very robust…

Quantum Physics · Physics 2023-06-13 Marllos E. F. Fernandes , Emanuel F. de Lima , Leonardo K. Castelano

In [Phys. Rev. Lett. 95, 080502 (2005)], Zheng proposed a scheme for implementing a conditional phase shift via adiabatic passages. The author claims that the gate is "neither of dynamical nor geometric origin" on the grounds that the…

Quantum Physics · Physics 2009-10-30 Ognyan Oreshkov , John Calsamiglia

Recently a method for adiabatic quantum computation has been proposed and there has been considerable speculation about its efficiency for NP-complete problems. Heuristic arguments in its favor are based on the unproven assumption of an…

Quantum Physics · Physics 2007-05-23 Mary Beth Ruskai

Adiabatic processes driven by non-Hermitian, time-dependent Hamiltonians may be sped up by generalizing inverse engineering techniques based on Berry's transitionless driving algorithm or on dynamical invariants. We work out the basic…

Quantum Physics · Physics 2015-09-18 S. Ibáñez , S. Martínez-Garaot , Xi Chen , E. Torrontegui , J. G. Muga

We propose an implementation scheme for holonomic, i.e., geometrical, quantum information processing based on semiconductor nanostructures. Our quantum hardware consists of coupled semiconductor macroatoms addressed/controlled by ultrafast…

Quantum Physics · Physics 2009-11-07 Paolo Solinas , Paolo Zanardi , Nino Zangh\`ı , Fausto Rossi

We explain how to combine holonomic quantum computation (HQC) with fault tolerant quantum error correction. This establishes the scalability of HQC, putting it on equal footing with other models of computation, while retaining the inherent…

Quantum Physics · Physics 2009-02-20 Ognyan Oreshkov , Todd A. Brun , Daniel A. Lidar
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