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arXiv:1603.05007 · Physical Review A

Deterministic generations of photonic NOON states in cavities via shortcuts to adiabaticity

Jingwei Chen, L. F. Wei

Published Mar 28, 2017• 17 citations
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Abstract

NOON states play an important role in quantum information processing and quantum metrology, but the fidelities of these states generated previously are limited, typically by the practically unavoidable decoherence and operational imperfections. Here, we propose an efficient scheme to generate photonic NOON states alternatively using the rapid population passage technique via the shortcut to adiabaticity (STA), rather than the usual Rabi oscillations. Since the deterministic population passages based on the STAs are insensitive to the details of the operations and can be implemented as fast as the Rabi oscillations, the fidelity of the generated NOON state could be satisfactorily high. The feasibility of the proposal is demonstrated specifically with the experimental circuit QED systems by rapidly driving two artificial qutrits.

DOI
10.1103/physreva.95.033838

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NOON states play an important role in quantum information processing and quantum metrology, but the fidelities of these states generated previously are limited, typically by the practically unavoidable decoherence and operational imperfections. Here, we propose an efficient scheme to generate photonic NOON states alternatively using the rapid population passage technique via the shortcut to adiabaticity (STA), rather than the usual Rabi oscillations. Since the deterministic population passages based on the STAs are insensitive to the details of the operations and can be implemented as fast as the Rabi oscillations, the fidelity of the generated NOON state could be satisfactorily high. The feasibility of the proposal is demonstrated specifically with the experimental circuit QED systems by rapidly driving two artificial qutrits.
Fast Rabi $\ensuremath{\pi}$-pulse technique has been widely applied to various coherent quantum manipulations, although it requires precise designs of the pulse areas. Relaxing the precise pulse designs, various rapid adiabatic passage (RAP) approaches have been alternatively utilized to implement various population passages deterministically. However, the usual RAP protocol could not be implemented desirably fast, as the relevant adiabatic condition should be robustly satisfied during the passage. Here, we propose a modified shortcut to adiabaticity (STA) technique to accelerate significantly the desired deterministic quantum state population passages. This transitionless technique is beyond the usual rotating wave approximation (RWA) performed in the recent STA protocols, and thus can be applied to deliver various fast quantum evolutions wherein the relevant counter-rotating effects cannot be neglected. The proposal is demonstrated specifically with the driven two- and three-level systems. Numerical results show that with the present STA technique beyond the RWA the usual Stark-chirped RAPs and stimulated Raman adiabatic passages could be significantly speeded up; the deterministic population passages could be implemented as fast as the widely used fast Rabi $\ensuremath{\pi}$ pulses, but are insensitive to the applied pulse areas.
Optimal control of quantum system is significant for information science and technology. Here, an efficient scheme is proposed for implementing fast population transfer in a spin qutrit of nitrogen-vacancy center via shortcuts to adiabaticity (STA) with simplified drivings. At two-photon resonance, a Λ\Lambda Λ -configuration interaction between the spin qutrit and driving fields can be obtained effectively. By the invariant-based STA, the reversible population transfer can be realized using the Rabi pulses with sine and cosine waveforms. Compared with the superadiabatic transitionless driving, the present pulses in our strategy become simplified technically, contributing to reduce the error effect of control parameter deviations. Moreover, the high-fidelity quantum operations can be performed with the accessible decoherence rates. The protocol could offer an optimized avenue towards the STA-based quantum control of spin qutrit experimentally.
Abstract A fast scheme to generate Greenberger-Horne-Zeilinger states between different cavities in circuit QED systems is proposed. To implement this scheme, we design a feasible experimental device with three qubits and three cavities. In this device, all the couplings between qubit and qubit, cavity and qubit are tunable and are independent with frequencies, and thus the shortcut to adiabaticity technique can be directly applied in our scheme. It is demonstrated that the GHZ state can be generated rapidly with high fidelity in our scheme.
Abstract By using shortcuts to adiabatic (STA) method, the proposal is to implement a fast multi‐photon down‐conversion, which can rapidly create 2N photons from the quantum vacuum based on the counter‐rotating effect of an ultrastrong light–matter coupling. The energy for the produced photons is given by a high‐frequency pump field. The STA method is used to design the driving fields to induce a rapid population transfer. Such an accelerated evolution can restrain the influence of decoherence during the evolution, so as to generate Fock states from vacuum with high fidelities.
We propose an effective scheme to implement fast and robust population transfer with a Josephson qutrit via shortcut to adiabaticity. Facilitated by the level-transition rule, a Λ-configuration resonant interaction can be realized between microwave drivings and the qutrit with sufficient level anharmonicity, from which we perform the reversible population transfers via invariant-based shortcut. Compared with the detuned drivings, the utilized resonant drivings shorten the transfer times significantly. Further analysis of the dependence of transfer time on Rabi couplings is helpful to experimental investigations. Thanks to the accelerated process, transfer operation is highly insensitive to noise effects. Thus the protocol could provide a promising avenue to experimentally perform fast and robust quantum operations on Josephson artificial atoms.
The generation, manipulation and fundamental understanding of entanglement lies at very heart of quantum mechanics. Among various types of entangled states, the NOON states are a kind of special quantum entangled states with two orthogonal component states in maximal superposition, which have a wide range of potential applications in quantum communication and quantum information processing. Here, we propose a fast and simple scheme for generating NOON states of photons in two superconducting resonators by using a single superconducting transmon qutrit. Because only one superconducting qutrit and two resonators are used, the experimental setup for this scheme is much simplified when compared with the previous proposals requiring a setup of two superconducting qutrits and three cavities. In addition, this scheme is easier and faster to implement than the previous proposals, which require using a complex microwave pulse, or a small pulse Rabi frequency in order to avoid nonresonant transitions.