Generation of cluster states in optomechanical quantum systems

Houhou, Oussama; Aissaoui, H.; Ferraro, Alessandro

doi:10.1103/physreva.92.063843

Cited by 55 publications

(57 citation statements)

References 85 publications

(138 reference statements)

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“…This makes the system before the first measurement equivalent to a five node linear cluster, which could in turn be prepared following the protocol described in Ref. [53]. The preparation scheme ends completely before detection takes place, and so the drive fields for generation and measurement do not overlap.…”

Section: Continuous Monitoring For Gaussian Transformationsmentioning

confidence: 99%

“…The latter are supposed to be already prepared in a cluster state and to have nonoverlapping frequencies (this can be achieved following the proposal of Ref. [53]). They are coupled to a thermal environment with dissipation rate γ.…”

Section: Optomechanical Setting and Mechanical Cluster Statesmentioning

confidence: 99%

“…However, in the side-band resolved regime considered in Ref. [53,55], mechanical modes are inaccessible to direct measurement. Thus, it is necessary to devise indirect measurement strategies which unfortunately typically introduce noise in the process.…”

Section: Introductionmentioning

confidence: 99%

“…In fact, various theoretical analyses of multiple resonators coupled to radiation pressure have been put forward [41][42][43][44][45][46][47][48][49][50][51][52]. In particular, a recent proposal showed that arbitrary graph states may be generated in an array of resonators immersed in a cavity field [53] using a generalisation of the reservoir engineering sometimes used for cooling [19,21,37,54]. As well, a method for reconstructing the state of a network of harmonically interacting resonators coupled to radiation pressure has been proposed [55].…”

Section: Introductionmentioning

confidence: 99%

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Arbitrary multimode Gaussian operations on mechanical cluster states

2017

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We consider opto- and electro-mechanical quantum systems composed of a driven cavity mode interacting with a set of mechanical resonators. It has been proposed that the latter can be initialized in arbitrary cluster states, including universal resource states for Measurement Based Quantum Computation (MBQC). We show that, despite the unavailability in this set-up of direct measurements over the mechanical resonators, computation can still be performed to a high degree of accuracy. In particular, it is possible to indirectly implement the measurements necessary for arbitrary Gaussian MBQC by properly coupling the mechanical resonators to the cavity field and continuously monitoring the leakage of the latter. We provide a thorough theoretical analysis of the performances obtained via indirect measurements, comparing them with what is achievable when direct measurements are instead available. We show that high levels of fidelity are attainable in parameter regimes within reach of present experimental capabilities.Comment: 12 pages, 8 figure

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Section: Continuous Monitoring For Gaussian Transformationsmentioning

confidence: 99%

Section: Optomechanical Setting and Mechanical Cluster Statesmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Arbitrary multimode Gaussian operations on mechanical cluster states

2017

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“…Although the investigations performed so far have focused on Gaussian operations [6] and states, including the engineering of universal resources for quantum computation [7], similar attention has been paid to the preparation of non Gaussian states [8][9][10][11][12][13][14][15][16][17]. In this respect, the preparation of phononic number states is a particularly important goal in light of the possibility to use optomechanical devices as memories and on-demand singlephoton sources [18].…”

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confidence: 99%

Engineering single-phonon number states of a mechanical oscillator via photon subtraction

et al. 2016

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We introduce an optomechanical scheme for the probabilistic preparation of single-phonon Fock states of mechanical modes based on photo-subtraction. The quality of the produced mechanical state is confirmed by a number of indicators, including phonon statistics and conditional fidelity. We assess the detrimental effect of parameters such as the temperature of the mechanical system and address the feasibility of the scheme with state-of-the-art technology.Recent developments in quantum optomechanics [1] have shown the promises for quantum state engineering held by various experimental platforms. Squeezing of the quantum noise of a micromechanical resonator has been recently demonstrated in at least two experimental settings [2,3], while the first steps towards optomechanical entanglement have been reported in some noticeable experiments [4,5].Although the investigations performed so far have focused on Gaussian operations [6] and states, including the engineering of universal resources for quantum computation [7], similar attention has been paid to the preparation of non Gaussian states [8][9][10][11][12][13][14][15][16][17]. In this respect, the preparation of phononic number states is a particularly important goal in light of the possibility to use optomechanical devices as memories and on-demand singlephoton sources [18]. Such states have been realized experimentally by coupling the mechanical mode to a superconducting qubit [19].In this paper, we propose a novel scheme for the preparation of single-phonon number states (SPNS) that combines the features offered by the linearized optomechanical interaction and the potential for effective nonlinear effects made available by photon subtraction. In Ref. [11], one of us has demonstrated the effectiveness of photon subtraction for the preparation of non-classical states of mechanical modes: The non-classical correlations established between mechanical and optical oscillators in an optomechanical cavity, complemented by the subtraction of a single photon from the optical field, are sufficient to prepare the mechanical mode in a highly non-classical (non-Gaussian) state. Here, we extend such scheme showing the possibility to engineer a state that is very close to an ideal SPNS in both a dynamical way and at the steady-state of the optomechanical evolution. We characterize the quality of the resource thus achieved * Electronic Address: mmiskeenk16@hotmail.com † Electronic Address: mjakram@qau.edu.pk ‡ Electronic Address: m.paternostro@qub.ac.uk § Electronic Address: farhan.saif@qau.edu.pk using both state fidelity and the phonon-number statistics. The remainder of this paper is organized as follows: In Sec. I, we introduce the system under scrutiny and its equations of motion. In Sec. II, we provide the analytical form of the conditional mechanical state achieved after a single-photon subtraction on the optical field. Sec. III is devoted to the characterisation of such conditional state. Sec. IV addresses the steady-state version of the scheme put forward here, while S...

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Generation of Optical and Mechanical Squeezing in the Linear‐and‐Quadratic Optomechanics

Zhen

Yan

et al. 2019

Annalen der Physik

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Generation of strong stationary optical and mechanical squeezing is proposed for the linear-and-quadratic optomechanical system, where two cavity modes induce linear and quadratic optomechanical couplings, respectively. Through the linearization treatment, linearized coupling between cavity mode and mechanical mode and the mechanical parametric amplification process are achievable and controllable by independent driving lasers. Optical and mechanical squeezing are generated following different mechanisms. Optical squeezing works in the strong coupling regime, and mechanical amplification would push the system close to instability threshold, which could deeply improve ponderomotive squeezing even significantly beyond the 3 dB squeezing limit. Mechanical squeezing is generated based on the reservoir engineering method, where parametric amplification induces the squeezing transformation of mechanical mode; and linearized coupling, which operates in the red-sideband and weak coupling limits, induces the ground-state cooling of transformed mechanical mode. Finally, the original mechanical mode would be squeezed, which could also exceed 3 dB limit.

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Generation of cluster states in optomechanical quantum systems

Cited by 55 publications

References 85 publications

Arbitrary multimode Gaussian operations on mechanical cluster states

Arbitrary multimode Gaussian operations on mechanical cluster states

Engineering single-phonon number states of a mechanical oscillator via photon subtraction

Generation of Optical and Mechanical Squeezing in the Linear‐and‐Quadratic Optomechanics

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