Noise effects in perfect transmission of quantum states

Benatti, Fabio; Floreanini, Roberto; Karimipour, Vahid

doi:10.1103/physreva.86.062335

Cited by 5 publications

(3 citation statements)

References 32 publications

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“…In special circumstances, noise can even be used to enhance the coherence or entanglement of quantum systems [25]. One example is the stochastic resonance [26,27] taking advantage of optimized noise amplitude; another one is the correlated noises [28] serving as a common bath. Nevertheless, contrary * lianao_wu@ehu.es to intuition, we show that an external white noise can be used to enhance adiabaticity and even induce adiabaticity in a nonadiabatic regime.…”

Section: Introductionmentioning

confidence: 99%

One-component dynamical equation and noise-induced adiabaticity

Jing

et al. 2014

Phys. Rev. A

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The adiabatic theorem addresses the dynamics of a target instantaneous eigenstate of a time-dependent Hamiltonian. We use a Feshbach P-Q partitioning technique to derive a closed one-component integro-differential equation. The resultant equation properly traces the footprint of the target eigenstate. The physical significance of the derived dynamical equation is illustrated by both general analysis and concrete examples. We find an interesting phenomenon showing that a dephasing white noise can enhance and even induce adiabaticity. This phenomenon, distinguishing itself from any artificial control process, may occur in natural physical processes. We also show that particular white noises can shorten the total duration of dynamic processing, such as in adiabatic quantum computing.

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Section: Introductionmentioning

confidence: 99%

One-component dynamical equation and noise-induced adiabaticity

Jing

et al. 2014

Phys. Rev. A

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“…(In [1] we also discuss the contributions [24,[58][59][60][61].) An influential early paper is the study [62] by De Chiara et al who considered the influence of disorder on the state transfer properties of the PST chain with linear energy spectrum [15].…”

Section: Other Theoretical Approachesmentioning

confidence: 99%

Robustness of Spin-Chain State-Transfer Schemes

Stolze

Álvarez

Osenda

et al. 2013

Quantum State Transfer and Network Engineering

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This is a shortened and slightly edited version of a chapter [1] in the collection Quantum State Transfer and Network Engineering, edited by G.M. Nikolopoulos and I. Jex [2], where we review our own research about the robustness of spin-chain state-transfer schemes along with other approaches to the topic. Since our own research is documented elsewhere to a large extent we here restrict ourselves to a review of other approaches which might be useful to other researchers in the field.

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“…Adiabaticity has theoretically been extended to open quantum systems [13,22]. In particular, noise can be used to enhance the coherence and entanglement of quantum systems [23][24][25][26] and even induce adiabaticity [27,28], rather than suppress the adiabatic passage. In Ref.…”

Section: Introductionmentioning

confidence: 99%

Experimental realization of noise-induced adiabaticity in nuclear magnetic resonance

Wang¹,

Xin²,

Kong³

et al. 2018

Phys. Rev. A

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The adiabatic evolution is the dynamics of an instantaneous eigenstate of a slowly varing Hamiltonian. Recently, an interesting phenomenon shows up that white noises can enhance and even induce adiabaticity, which is in contrast to previous perception that environmental noises always modify and even ruin a designed adiabatic passage. We experimentally realized a noise-induced adiabaticity in a nuclear magnetic resonance system. Adiabatic Hadamard gate and entangled state are demonstrated. The effect of noise on adiabaticity is experimentally exhibited and compared with the noise-free process. We utilized a noise-injected method, which can be applied to other quantum systems. APPENDIX A: ERROR ANALYSIS

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Noise effects in perfect transmission of quantum states

Cited by 5 publications

References 32 publications

One-component dynamical equation and noise-induced adiabaticity

One-component dynamical equation and noise-induced adiabaticity

Robustness of Spin-Chain State-Transfer Schemes

Experimental realization of noise-induced adiabaticity in nuclear magnetic resonance

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