Robust state preparation in quantum simulations of Dirac dynamics

Song, Xue-Ke; Deng, Fu‐Guo; Lamata, Lucas; Muga, J. G.

doi:10.1103/physreva.95.022332

Cited by 26 publications

(18 citation statements)

References 33 publications

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“…The goal of Song et al (2017) is instead to induce a fast and robust population inversion among the bare levels on a 1+1-dimensional Dirac equation for a charged particle simulated by ultracold trapped ions, designing a simulated electric field α t . The problem is that the coupling between momentum and internal levels in the Dirac equation changes with the momentum.…”

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confidence: 99%

Shortcuts to adiabaticity: Concepts, methods, and applications

et al. 2019

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Shortcuts to adiabaticity (STA) are fast routes to the final results of slow, adiabatic changes of the controlling parameters of a system. The shortcuts are designed by a set of analytical and numerical methods suitable for different systems and conditions. A motivation to apply STA methods to quantum systems is to manipulate them on timescales shorter than decoherence times. Thus shortcuts to adiabaticity have become instrumental in preparing and driving internal and motional states in atomic, molecular, and solid-state physics. Applications range from information transfer and processing based on gates or analog paradigms, to interferometry and metrology. The multiplicity of STA paths for the controlling parameters may be used to enhance robustness versus noise and perturbations, or to optimize relevant variables. Since adiabaticity is a widespread phenomenon, STA methods also extended beyond the quantum world, to optical devices, classical mechanical systems, and statistical physics. Shortcuts to adiabaticity combine well with other concepts and techniques, in particular with optimal control theory, and pose fundamental scientific and engineering questions such as finding speed limits, quantifying the third law, or determining process energy costs and efficiencies. We review concepts, methods and applications of shortcuts to adiabaticity and outline promising prospects, as well as open questions and challenges ahead.

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confidence: 99%

Shortcuts to adiabaticity: Concepts, methods, and applications

et al. 2019

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“…A variety of shortcut protocols have been developed including invariant-based inverse engineering [17,18], transitionless counterdiabatic driving [19][20][21][22], fast-forward methods [23][24][25] and methods based on unitary [26][27][28][29][30] or gauge [31] transformations. Quantum shortcuts to adiabaticity have been extended to non-Hermitian Hamiltonians [32,33], open quantum systems [34][35][36][37] and Dirac-dynamics [38][39][40]. They have been demonstrated experimentally [41][42][43][44][45][46], and their relationship with quantum speed limits has been clarified [47,48].…”

Section: Introductionmentioning

confidence: 99%

Shortcuts to adiabaticity using flow fields

2017

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A shortcut to adiabaticity is a recipe for generating adiabatic evolution at an arbitrary pace. Shortcuts have been developed for quantum, classical and (most recently) stochastic dynamics. A shortcut might involve a counterdiabatic (CD) Hamiltonian that causes a system to follow the adiabatic evolution at all times, or it might utilize a fast-forward (FF) potential, which returns the system to the adiabatic path at the end of the process. We develop a general framework for constructing shortcuts to adiabaticity from flow fields that describe the desired adiabatic evolution. Our approach encompasses quantum, classical and stochastic dynamics, and provides surprisingly compact expressions for both CD Hamiltonians and FF potentials. We illustrate our method with numerical simulations of a model system, and we compare our shortcuts with previously obtained results. We also consider the semiclassical connections between our quantum and classical shortcuts. Our method, like the FF approach developed by previous authors, is susceptible to singularities when applied to excited states of quantum systems; we propose a simple, intuitive criterion for determining whether these singularities will arise, for a given excited state.

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“…On the other hand, the adiabatic passage allows quantum system evolving robustly, but the speed of the evolution is relatively slow. For the robustness and high speed of evolution, a new method called “shortcut to adiabaticity” (STA) has been proposed and studied. STA makes the quantum system evolve in a controllable nonadiabatic way and be robust against decoherence.…”

Section: Introductionmentioning

confidence: 99%

Complete and Nondestructive Atomic Greenberger–Horne–Zeilinger‐State Analysis Assisted by Invariant‐Based Inverse Engineering

et al. 2019

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A protocol to realize complete and nondestructive atomic Greenberger-Horne-Zeilinger (GHZ)-state analysis in cavity quantum electrodynamics (QED) systems is presented. In this protocol, the three information-carrier atoms and the three auxiliary atoms are trapped in six separated cavities, respectively. After ten-step operations, the information for distinguishing the eight different GHZ states of the three information-carrier atoms is encoded on the auxiliary atoms. Thus, by means of detecting the auxiliary atoms, complete and nondestructive GHZ-state analysis with high success probability is realized. Moreover, the driving pluses of operations are designed as a simple superposition of Gaussian or trigonometric functions by using the invariant-based inverse engineering. Therefore, the protocol can be realized experimentally and applied in some quantum information tasks based on complete GHZ-state analysis with less physical entanglement resource.interesting protocol for complete and nondestructive Bell-state analysis for two superconducting quantum interference device qubits. In protocols, [36,37] different Bell states can be distinguished completely with high success probabilities.On the other hand, GHZ state plays a crucial part in testing quantum mechanics against local hidden theory without Bell inequality. [47] Besides, the information capacity of GHZ states is bigger than Bell states, which makes GHZ states more promising than Bell states in multiparticle systems. Thus, finding an efficient and feasible way to realize GHZ-state analysis is an essential issue of QIP. For example, in 2005, Jin et al. [48] have presented a protocol to teleport an unknown atomic entangled state in driving cavity quantum electrodynamics (QED) systems. In this protocol, one important step is to distinguish different GHZ states of three atoms.Actually, as early as 1998, Pan et al. [49] have put forward a groundbreaking protocol to structure a GHZ-state analyzer by using linear-optics elements. The GHZ-state analyzer could distinguish two of the eight maximally entangled GHZ states, which signified that the measurement would be probabilistic. In order to overcome the nondeterminacy of detection, in 2005, Qian et al. [50] have proposed an innovative protocol for a three-particle GHZ-state analyzer using quantum nondemolition parity detectors based on the cross-Kerr nonlinearity and linear-optics elements. In protocol, [50] all GHZ states can be discriminated with nearly unity probability. But, the GHZ states will be destructed after analyzing. Obviously, nondestructive GHZ-state analysis can save the physical entanglement resource and boost the efficiency of QIP. Thus, how to carry out a complete and nondestructive GHZ-state analysis becomes a significant problem. To solve the problem, in 2012, Su et al. [51] have presented a protocol for completely and nondestructively distinguishing Bell states and GHZ states by employing simplified symmetry analyzer. In 2013, Wei et al. [52] have proposed a protocol for the complete and nondestr...

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Robust state preparation in quantum simulations of Dirac dynamics

Cited by 26 publications

References 33 publications

Shortcuts to adiabaticity: Concepts, methods, and applications

Shortcuts to adiabaticity: Concepts, methods, and applications

Shortcuts to adiabaticity using flow fields

Complete and Nondestructive Atomic Greenberger–Horne–Zeilinger‐State Analysis Assisted by Invariant‐Based Inverse Engineering

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