Deterministic generation of Greenberger–Horne–Zeilinger entangled states of cat-state qubits in circuit QED

Yang, Chui‐Ping; Zheng, Zhen-Fei

doi:10.1364/ol.43.005126

Cited by 22 publications

(14 citation statements)

References 25 publications

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“…Other parameters used in the numerical simulation are: (i) γ −1 eg = 4T µs, γ −1 f e = 2T µs, γ −1 f g = T µs, (ii) γ −1 φe = γ −1 φf = T µs, (iii) κ 1 , κ 2 , κ 1 ′ , κ 2 ′ = κ, and (iv) α = 1.86. In addition, choose g kl = 0.01g m [14], with g m = max{g 2 , µ 1 ′ , µ 2 ′ }.…”

Section: Possible Experimental Implementationmentioning

confidence: 99%

“…In recent years, besides progress achieved with SPS qubits, considerable theoretical and experimental activity have also been shifted to QIP with coherent-state (CS) or cat-state (C-S) qubits. There exists a number of works for QIP using qubits encoded with coherent states [6,[8][9][10] or encoded with cat-state qubits [7,[11][12][13][14][15][16].…”

Section: Introductionmentioning

confidence: 99%

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Transferring quantum entangled states between multiple single-photon-state qubits and coherent-state qubits in circuit QED

Zhang

Yang

2021

Preprint

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We present a way to transfer maximally-or partially-entangled states of n single-photon-state (SPS) qubits onto n coherent-state (CS) qubits, by employing 2n microwave cavities coupled to a superconducting flux qutrit. The two logic states of a SPS qubit here are represented by the vacuum state and the single-photon state of a cavity, while the two logic states of a CS qubit are encoded with two coherent states of a cavity. Because of using only one superconducting qutrit as the coupler, the circuit architecture is significantly simplified. The operation time for the state transfer does not increase with the increasing of the number of qubits. When the dissipation of the system is negligible, the quantum state can be transferred in a deterministic way since no measurement is required. Furthermore, the higher-energy intermediate level of the coupler qutrit is not excited during the entire operation and thus decoherence from the qutrit is greatly suppressed.As a specific example, we numerically demonstrate that the high-fidelity transfer of a Bell state of two SPS qubits onto two CS qubits is achievable within the present-day circuit QED technology.Finally, it is worthy to note that when the dissipation is negligible, entangled states of n CS qubits can be transferred back onto n SPS qubits by performing reverse operations. This proposal is quite general and can be extended to accomplish the same task, by employing a natural or artificial atom to couple 2n microwave or optical cavities.

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Section: Possible Experimental Implementationmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Transferring quantum entangled states between multiple single-photon-state qubits and coherent-state qubits in circuit QED

Zhang

Yang

2021

Preprint

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“…Recently, there has been increasing interest in quantum computing with cat-state qubits. Schemes have been put forward for creating entanglement of multiple cat-state qubits [36,37] and realizing quantum gates for a single cat-state qubit [38,39], two cat-state qubits [27,40], and multiple cat-state qubits [41]. Furthermore, quantum gates of a single cat-state qubit [42] and Bell states of two cat-state qubits [43] have been experimentally demonstrated.…”

Section: Introductionmentioning

confidence: 99%

Construction of a qudit using Schrödinger cat states and generation of hybrid entanglement between a discrete-variable qudit and a continuous-variable qudit

Liu²,

Yang³

2021

Phys. Rev. A

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We show that a continuous-variable (CV) qudit can be constructed using quasiorthogonal cat states of a bosonic mode, when the phase encoded in each cat state is chosen appropriately. With the constructed CV qudit and the discrete-variable (DV) qudit encoded with Fock states, we propose an approach to generate the hybrid maximally entangled state of a CV qudit and a DV qudit by using two microwave cavities coupled to a superconducting flux qutrit. This proposal relies on the initial preparation of a superposition of Fock states of one cavity and the initial preparation of a cat state of the other cavity. After the initial state of each cavity is prepared, this proposal requires only two basic operations, i.e., the first operation employs the dispersive coupling of both cavities with the qutrit while the second operation uses the dispersive coupling of only one cavity with the qutrit. The entangled state production is deterministic and the operation time decreases as the dimensional size of each qudit increases. In addition, during the entire operation, the coupler qutrit remains in the ground state and thus decoherence from the qutrit is significantly reduced. As an example, we further discuss the experimental feasibility for generating the hybrid maximally entangled state of a DV qutrit and a CV qutrit based on circuit QED. This proposal is universal and can be extended to accomplish the same task, by using two microwave or optical cavities coupled to a natural or artificial three-level atom.

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“…In recent years, QIP with cqubits has attracted much attention because coherent states are eigenstates of the photon annihilation operator and tolerant to single-photon loss [72,73] and the lifespan of a cqubit can be greatly improved by quantum error correction [73]. Proposals for entangling cqubits in a GHZ state [74] and for implementing single-cqubit gates [75,76], two-cqubit gates [58,77], and multi-targetcqubit controlled gates [78] have been presented. Moreover, the experimental demonstration of single-cqubit gates [79] and double-cqubit entangled Bell states [80] has been reported.…”

Section: Introductionmentioning

confidence: 99%

Transferring entangled states of photonic cat-state qubits in circuit QED

et al. 2020

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We propose a method for transferring quantum entangled states of two photonic cat-state qubits (cqubits) from two microwave cavities to the other two microwave cavities. This proposal is realized by using four microwave cavities coupled to a superconducting flux qutrit. Because of using four cavities with different frequencies, the inter-cavity crosstalk is significantly reduced. Since only one coupler qutrit is used, the circuit resources is minimized. The entanglement transfer is completed with a single-step operation only, thus this proposal is quite simple. The third energy level of the coupler qutrit is not populated during the state transfer, therefore decoherence from the higher energy level is greatly suppressed. Our numerical simulations show that high-fidelity transfer of two-cqubit entangled states from two transmission line resonators to the other two transmission line resonators is feasible with current circuit QED technology. This proposal is universal and can be applied to accomplish the same task in a wide range of physical systems, such as four microwave or optical cavities, which are coupled to a natural or artificial three-level atom.

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Deterministic generation of Greenberger–Horne–Zeilinger entangled states of cat-state qubits in circuit QED

Cited by 22 publications

References 25 publications

Transferring quantum entangled states between multiple single-photon-state qubits and coherent-state qubits in circuit QED

Transferring quantum entangled states between multiple single-photon-state qubits and coherent-state qubits in circuit QED

Construction of a qudit using Schrödinger cat states and generation of hybrid entanglement between a discrete-variable qudit and a continuous-variable qudit

Transferring entangled states of photonic cat-state qubits in circuit QED

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