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Related papers: Fast quantum state engineering via universal SU(2)…

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We propose a simple but versatile protocol to engineer time-dependent Hamiltonians inversely for geometric quantum computation. By utilizing SU(2) transformation, a speedup goal on gate operation is achieved with more freedom to design the…

Quantum Physics · Physics 2021-03-31 Jian-jian Cheng , Lin Zhang

In many quantum technologies adiabatic processes are used for coherent quantum state operations, offering inherent robustness to errors in the control parameters. The main limitation is the long operation time resulting from the requirement…

Quantum Physics · Physics 2019-04-12 A. Vepsäläinen , S. Danilin , G. S. Paraoanu

We design faster-than-adiabatic state transfers (switching of quantum numbers) in time-dependent coupled-oscillator Hamiltonians. The manipulation to drive the process is found using a two-dimensional invariant recently proposed in S.…

Quantum Physics · Physics 2022-06-22 Xiao-Jing Lu , Ion Lizuain , J. G. Muga

We describe a protocol for perfectly transferring a quantum state from one party to another under the dynamics of a fixed, engineered Hamiltonian. Our protocol combines the concepts of fractional revival, dual rail encoding, and a rare…

Quantum Physics · Physics 2023-07-19 Weichen Xie , Alastair Kay , Christino Tamon

We present two applications of emergent local Hamiltonians to speed up quantum adiabatic protocols for isolated noninteracting and weakly interacting fermionic systems in one-dimensional lattices. We demonstrate how to extract maximal work…

Statistical Mechanics · Physics 2017-10-31 Ranjan Modak , Lev Vidmar , Marcos Rigol

A stable and fast path linking two arbitrary states of a quantum system is generally required for state-engineering protocols, such as stimulated Raman adiabatic passage, shortcuts to adiabaticity, and holonomic transformation. Such a path…

Quantum Physics · Physics 2025-01-08 Zhu-yao Jin , Jun Jing

We propose an effective and flexible scheme for reverse engineering of a Hamiltonian by designing the evolution operators to eliminate the terms of Hamiltonian which are hard to be realized in practice. Different from transitionless quantum…

Quantum Physics · Physics 2016-08-15 Yi-Hao Kang , Ye-Hong Chen , Qi-Cheng Wu , Bi-Hua Huang , Yan Xia , Jie Song

We generalize the quantum adiabatic theorem to the non-Hermitian system and build a rigorous adiabaticity condition with respect to the adiabatic phase. The non-Hermitian Hamiltonian inverse engineering method is proposed for the purpose to…

Quantum Physics · Physics 2016-11-30 Qi-Cheng Wu , Ye-Hong Chen , Bi-Hua Huang , Yan Xia , Jie Song

We use the dynamical algebra of a quantum system and its dynamical invariants to inverse engineer feasible Hamiltonians for implementing shortcuts to adiabaticity. These are speeded up processes that end up with the same populations than…

Quantum Physics · Physics 2015-06-18 E. Torrontegui , S. Martínez-Garaot , J. G. Muga

We propose a method to produce fast transitionless dynamics for finite-dimensional quantum systems without requiring additional Hamiltonian components not included in the initial control setup, remaining close to the true adiabatic path at…

Quantum Physics · Physics 2018-11-09 Francesco Petiziol , Benjamin Dive , Florian Mintert , Sandro Wimberger

We propose a fast and robust quantum state transfer protocol employing a Su-Schrieffer-Heeger chain, where the interchain couplings vary in time. Based on simple considerations around the terms involved in the definition of the adiabatic…

Quantum Physics · Physics 2021-05-19 N. E. Palaiodimopoulos , I. Brouzos , F. K. Diakonos , G. Theocharis

Speeding up adiabatic method has attracted much attention with the wide applications in quantum information processing. In this paper, two kinds of methods, Lewis-Riesenfeld invariant-based inverse engineering and transitionless quantum…

Quantum Physics · Physics 2017-03-24 Feng-Yang Zhang , Wen-Lin Li , Yan Xia

Adiabatic state engineering is a powerful technique in quantum information and quantum control. However, its performance is limited by the adiabatic theorem of quantum mechanics. In this scenario, shortcuts to adiabaticity, such as provided…

Quantum Physics · Physics 2015-11-03 Alan C. Santos , Marcelo S. Sarandy

Hamiltonian inverse engineering enables the design of protocols for specific quantum evolutions or target state preparation. Perfect state transfer (PST) and remote entanglement generation are notable examples, as they serve as key…

Shortcuts to adiabaticity are alternative fast processes which reproduce the same final state as the adiabatic process in a finite or even shorter time, which have been extended from Hermitian systems to non-Hermitian systems in recent…

Quantum Physics · Physics 2024-04-15 T. Z. Luan , H. Z. Shen , X. X. Yi

By periodical two-step modulation, we demonstrate that the dynamics of multilevel system can still evolve even in multiple large detunings regime, and provide the effective Hamiltonian (of interest) for this system. We then illustrate this…

Quantum Physics · Physics 2018-12-27 Zhi-Cheng Shi , Du Ran , Li-Tuo Shen , Yan Xia , X. X. Yi

We examine the stability versus different types of perturbations of recently proposed shortcuts-to-adiabaticity to speed up the population inversion of a two-level quantum system. We find optimally robust processes using invariant based…

Quantum Physics · Physics 2013-10-30 A. Ruschhaupt , Xi Chen , D. Alonso , J. G. Muga

Conventional manipulations over quantum systems for such as coherent population trapping and unidirectional transfer focus on Hamiltonian engineering while regarding the system's manifold geometry and constraint equation as secondary…

Quantum Physics · Physics 2025-09-08 Zhu-yao Jin , Jun Jing

The ability to accurately control a quantum system is a fundamental requirement in many areas of modern science such as quantum information processing and the coherent manipulation of molecular systems. It is usually necessary to realize…

We propose a method to manipulate, possibly faster than adiabatically, four-level systems with time-dependent couplings and constant energy shifts (detunings in quantum-optical realizations). We inversely engineer the Hamiltonian, in…

Quantum Physics · Physics 2018-01-24 Y. - C. Li , D. Martínez , S. Martínez-Garaot , X. Chen , J. G. Muga
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