Generation of atomic NOON states via shortcuts to adiabatic passage

Song, Chong; Su, Shi‐Lei; Bai, Cheng‐Hua; Ji, Xin; Zhang, Shou

doi:10.1007/s11128-016-1372-2

Cited by 12 publications

(7 citation statements)

References 60 publications

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“…As well, shortcuts have been proposed to produce single photons on demand in an atom-cavity system approximated by three levels (Shi and Wei, 2015). A Toffoli Cavity QED QZD+Invariants Santos and Sarandy (2015) Universal gates N qubits CD driving Chen et al (2015a) Phase Cavity QED QZD+Invariants Liang et al (2015d) Phase Cavity QED QZD+Invariants Liang et al (2015b) CNOT Cavity QED QZD+Invariants Liang et al (2015a) Swap Cavity QED QZD+Invariants Zhang et al (2015a) Non-Abelian geometric Superconducting transmon CD driving Santos et al (2016) N-qubit Four-level system CD driving Song et al (2016d) 1-and 2-qubit holonomic NV centers CD driving Liang et al (2016) Non-Abelian geometric NV centers CD driving Two-qubit phase Two trapped ions Invariants Du et al (2017) Non-Abelian geometric NV centers CD driving Wu et al (2017a) CNOT Cavity QED QZD+Dressed-state scheme Santos (2018) Single-and Two-qubit Two-and Four-level system Inverse engineering Liu et al (2018) Non-Abelian geometric NV centers Invariants Wang et al (2018) Single-qubit Superconducting Xmon qubit CD driving Shen and Su (2018) Two-qubit controlled phase Two Rydberg atoms Invariants Ritland and Rahmani (2018) Majorana Top transmon OCT for noise cancelling Li et al (2018b) 1-Qubit gate&transport Double quantum dot Inverse engineering Yan et al (2019a) Non-Abelian geometric Superconducting Xmon qubit CD driving Lv et al (2019) Non-cyclic geometric Two-level atom CD driving Santos et al (2019) Single qubit Nuclear Magnetic Resonance CD driving Qi and Jing (2019) Single and double-qubit holonomic Rydberg atoms CD driving system of distant nodes in two-dimensional networks (cavities with a Λ-type atom) is approximated by a three-level Λ system in Zhong (2016) and then STA techniques are applied to achieve fast information transfer.…”

Section: Cavity Quantum Electrodynamicsmentioning

confidence: 99%

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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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Section: Cavity Quantum Electrodynamicsmentioning

confidence: 99%

“…As for Lewis-Riesenfeld invariants for Non-Hermitian Hamiltonians, they can be generalized in two different forms (Simón et al, 2018) corresponding to (Gao et al, 1992;Khantoul et al, 2017;)…”

Section: Non-hermitian Hamiltoniansmentioning

confidence: 99%

Shortcuts to adiabaticity: Concepts, methods, and applications

et al. 2019

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“…In recent year, the development of the technique of shortcuts in adiabaticity (STA), have greatly promoted pulse design for fast and robust control of atoms in cavity QED systems. Combining the advances of cavity QED systems and STA, many protocols have been put forward to realize the preparations of atomic entangled states, which have all shown strong power of STA.…”

Section: Introductionmentioning

confidence: 99%

Robust Preparation of Atomic Concatenated Greenberger–Horne–Zeilinger States via Shortcuts to Adiabaticity

Lin

2018

Annalen der Physik

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Here, a protocol for robust preparation of an atomic concatenated Greenberger-Horne-Zeilinger (C-GHZ) state via shortcuts to adiabaticity (STA) is proposed. The devices for implementing the protocol consist of atoms, cavities, and the optical fibers, which are feasible with current technology. The atoms are trapped in the separated cavities allowing individual control over each atom with classical fields. STA helps to design Rabi frequencies of classical fields so that the atoms can be driven from the initial states to the target states. The numerical simulations show that the protocol holds robustness against atomic spontaneous emissions and photonic leakages. Thus, the protocol may be realized by experiments in the near future.been proposed to prepare the GHZ states with different systems. For example, Zheng [21] has proposed a protocol to generate GHZ states with atoms. Wu et al. [23] have used the superconducting qubits to generate GHZ states.The protocols [21][22][23] for preparing the GHZ states mentioned above focus on the GHZ states encoded in the physical qubits directly. Recently, Fröwis and Dür [24,25] have suggested a new type of entangled states named concatenated Greenberger-Horne-Zeilinger (C-GHZ) states, which are the GHZ-like states encoded in the qubits formed by the traditional GHZ states. More specifically, the C-GHZ states can be written as DenotationState of system Denotation State of system |ψ 1 | 0, 0, 0, 0 |0 | ψ 2 | 0, 2, 0, 0 |0 |ψ 3 | 0, 1, 0, 0 |1 11l | ψ 4 | 0, 1, 0, 0 |1 f 11 |ψ 5 | 0, 1, 0, 0 |1 0l | ψ 6 | 0, 1, 1, 1 |0 |ψ 7 | 1, 0, 0, 0 |0 | ψ 8 | 1, 1, 0, 0 |0 |ψ 9 | 1, 1, 0, 0 |1 11l | ψ 10 | 1, 2, 0, 0 |1 f 11 |ψ 11 | 1, 1, 0, 0 |1 0l | ψ 12 | 2, 0, 0, 0 |0 |ψ 13 | 3, 1, 0, 0 |0

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“…A set of attractive techniques called 'shortcut to adiabaticity', consisting of invariant-based inverse engineering [36,37], transitionless quantum driving (TQD) [38][39][40] and the fast-forward approach [41], has been put forward for speeding up adiabatic evolution processes, which can carry out the same target operation as that in the adiabatic process but within a shorter time. Thus the shortcut approach has attracted considerable attention [42][43][44][45].…”

Section: Introductionmentioning

confidence: 99%

Speeding up adiabatic population transfer in a Josephson qutrit via counter-diabatic driving

Feng

et al. 2017

New J. Phys.

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Generation of atomic NOON states via shortcuts to adiabatic passage

Cited by 12 publications

References 60 publications

Shortcuts to adiabaticity: Concepts, methods, and applications

Shortcuts to adiabaticity: Concepts, methods, and applications

Robust Preparation of Atomic Concatenated Greenberger–Horne–Zeilinger States via Shortcuts to Adiabaticity

Speeding up adiabatic population transfer in a Josephson qutrit via counter-diabatic driving

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