Shortcuts to Adiabaticity for the Quantum Rabi Model: Efficient Generation of Giant Entangled Cat States via Parametric Amplification

Chen, Ye‐Hong; Qin, Wei; Wang, Xin; Miranowicz, Adam; Nori, Franco

doi:10.1103/physrevlett.126.023602

Cited by 147 publications

(77 citation statements)

References 99 publications

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“…To avoid the problem of diverging state preparation times we consider shortcuts to adiabaticy, specifically counter-diabatic driving, and apply these tools to two systems studied in the context of criticality and metrology. The first system is the Landau-Zener model [40,41] which we treat as a toy model for criticality, and the second one is the quantum Rabi model [20,42]. Subsequently, by a careful analysis of the quantum Fisher information, we argue why counter-diabatic driving cannot be used to achieve the Heisenberg limit in critical quantum metrology and in general gives rise to a smaller quantum Fisher information than purely adiabatic state preparation.…”

Section: Introductionmentioning

confidence: 94%

Adiabatic critical quantum metrology cannot reach the Heisenberg limit even when shortcuts to adiabaticity are applied

Gietka

Metz

Keller

et al. 2021

Quantum

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We show that the quantum Fisher information attained in an adiabatic approach to critical quantum metrology cannot lead to the Heisenberg limit of precision and therefore regular quantum metrology under optimal settings is always superior. Furthermore, we argue that even though shortcuts to adiabaticity can arbitrarily decrease the time of preparing critical ground states, they cannot be used to achieve or overcome the Heisenberg limit for quantum parameter estimation in adiabatic critical quantum metrology. As case studies, we explore the application of counter-diabatic driving to the Landau-Zener model and the quantum Rabi model.

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Section: Introductionmentioning

confidence: 94%

Adiabatic critical quantum metrology cannot reach the Heisenberg limit even when shortcuts to adiabaticity are applied

Gietka

Metz

Keller

et al. 2021

Quantum

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“…Let us first experimentally demonstrate the antisqueezing-enhanced ZPF in our 4-spin system, which is the key physical mechanism of recovering ground-state SPT in the case of including the A 2 term. It is also the nature of antisqueezing-enhanced light-matter interaction explored in recent theoretical [39][40][41][42][43][44][45] and experimental 46 works. Theoretically, the antisqueezing term ĤAs will make the ground state of an oscillator from a vacuum state 0 j i to the squeezed vacuum state ŜðrÞ 0 j i with ŜðrÞ ¼ exp½rðâ 2 À ây2 Þ=2 and the squeezing parameter r ¼ ð1=4Þln ð1 À 4ξ=ωÞ.…”

Section: Physical Model the Rabi Model With Hamiltonianmentioning

confidence: 99%

“…These states could be used for faulttolerant quantum computation 34,35 and quantum metrology 36 approaching the Heisenberg limit, aside from providing fundamental insights into the nature of decoherence and the quantumclassical transition 37 . Our work also provides the important family of antisqueezing with a new type of applications, besides widely known ones in quantum precision measurement 38 and enhancing light-matter interaction [39][40][41][42][43][44][45][46] .…”

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confidence: 99%

Experimental quantum simulation of superradiant phase transition beyond no-go theorem via antisqueezing

Chen

Jiang

et al. 2021

Nat Commun

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The superradiant phase transition in thermal equilibrium is a fundamental concept bridging statistical physics and electrodynamics, which has never been observed in real physical systems since the first proposal in the 1970s. The existence of this phase transition in cavity quantum electrodynamics systems is still subject of ongoing debates due to the no-go theorem induced by the so-called A2 term. Moreover, experimental conditions to study this phase transition are hard to achieve with current accessible technology. Based on the platform of nuclear magnetic resonance, here we experimentally simulate the occurrence of an equilibrium superradiant phase transition beyond no-go theorem by introducing the antisqueezing effect. The mechanism relies on that the antisqueezing effect recovers the singularity of the ground state via exponentially enhancing the zero point fluctuation of system. The strongly entangled and squeezed Schrödinger cat states of spins are achieved experimentally in the superradiant phase, which may play an important role in fundamental tests of quantum theory and implementations of quantum metrology.

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“…Yet typical gate errors are caused by decoherence due to qubitenvironment coupling, and systematic errors due to imperfect state preparation and operation [2,3]. Inspired by the intrinsic resilience to environmental noises of geometric phases [4][5][6], adiabatic paradigms [7][8][9] of holonomic quantum computation (HQC) based on non-Abelian geometric phases [10] have been designated, following which shortcut to adiabatic [11][12][13][14][15][16] and nonadiabatic HQC (NHQC) [17][18][19][20][21][22][23][24] have been proposed and demonstrated experimentally with single-and two-qubit gates [25][26][27][28][29][30][31][32][33][34]. Efforts have been spent to combine HQC with decoherence-free subspace to protect qubits from noises [9,18] or with error-correcting codes to eliminate qubit errors actively [35][36][37][38].…”

Section: Introductionmentioning

confidence: 99%

Systematic-Error-Tolerant Multiqubit Holonomic Entangling Gates

Wang

Han

et al. 2021

Phys. Rev. Applied

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Quantum holonomic gates hold built-in resilience to local noises and provide a promising approach for implementing fault-tolerant quantum computation. We propose to realize high-fidelity holonomic (N + 1)-qubit controlled gates using Rydberg atoms confined in optical arrays or superconducting circuits. We identify the scheme, deduce the effective multi-body Hamiltonian, and determine the working condition of the multiqubit gate. Uniquely, the multiqubit gate is immune to systematic errors, i.e., laser parameter fluctuations and motional dephasing, as the N control atoms largely remain in the much stable qubit space during the operation. We show that CN -NOT gates can reach same level of fidelity at a given gate time for N ≤ 5 under a suitable choice of parameters, and the gate tolerance against errors in systematic parameters can be further enhanced through optimal pulse engineering. In case of Rydberg atoms, the proposed protocol is intrinsically different from typical schemes based on Rydberg blockade or antiblockade. Our study paves a new route to build robust multiqubit gates with Rydberg atoms trapped in optical arrays or with superconducting circuits. It contributes to current efforts in developing scalable quantum computation with trapped atoms and fabricable superconducting devices.

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Shortcuts to Adiabaticity for the Quantum Rabi Model: Efficient Generation of Giant Entangled Cat States via Parametric Amplification

Cited by 147 publications

References 99 publications

Adiabatic critical quantum metrology cannot reach the Heisenberg limit even when shortcuts to adiabaticity are applied

Adiabatic critical quantum metrology cannot reach the Heisenberg limit even when shortcuts to adiabaticity are applied

Experimental quantum simulation of superradiant phase transition beyond no-go theorem via antisqueezing

Systematic-Error-Tolerant Multiqubit Holonomic Entangling Gates

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