Greenberger-Horne-Zeilinger generation protocol for<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>N</mml:mi></mml:math>superconducting transmon qubits capacitively coupled to a quantum bus

Aldana, Samuel; Wang, Ying-Dan; Bruder, Christoph

doi:10.1103/physrevb.84.134519

Cited by 33 publications

(20 citation statements)

References 39 publications

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“…For the past years, based on circuit QED, much process has been made on entanglement generation with SC qubits. For instance, using SC qubits coupled to a single cavity or multiple resonators (hereafter, the terms cavity and resonator are used interchangeably), a number of theoretical proposals have been presented for realizing entangled states of SC qubits [10][11][12][18][19][20][21][22][23]. Moreover, various two-qubit or three-qubit entangled states have been experimentally demonstrated with superconducting qubits based on circuit QED [24][25][26][27][28][29].…”

Section: Introductionmentioning

confidence: 99%

“…As is well known, high-dimensional (HD) quantum entanglement is not only of great interest in providing an additional way for the fundamental tests of quantum nonlocality, but also central for HD-based quantum computation, quantum communication, quantum error correction, and quantum simulation. Over the past years, base on cavity or circuit QED, a large number of theoretical methods have been presented for creating two-qubit or multi-qubit entangled states with various physical systems (e.g., atoms, nitrogen-vacancy centers, quantum dots, and SC devices) [10][11][12][18][19][20][21][22][23][32][33][34][35][36][37][38][39]. However, after a deep search of the literature, we found that based on cavity QED or circuit QED, how to create entangled states of qutrits or higher-dimensional quantum systems with natural or artificial atoms has been rarely investigated.…”

Section: Introductionmentioning

confidence: 99%

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Circuit QED: generation of two-transmon-qutrit entangled states via resonant interaction

Zheng

Dao-ming

et al. 2018

Quantum Inf Process

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We present a way to create entangled states of two superconducting transmon qutrits based on circuit QED. Here, a qutrit refers to a three-level quantum system. Since only resonant interaction is employed, the entanglement creation can be completed within a short time. The degree of entanglement for the prepared entangled state can be controlled by varying the weight factors of the initial state of one qutrit, which allows the prepared entangled state to change from a partially entangled state to a maximally entangled state. Because a single cavity is used, only resonant interaction is employed, and none of identical qutrit-cavity coupling constant, measurement, and auxiliary qutrit is needed, this proposal is easy to implement in experiments. The proposal is quite general and can be applied to prepare a two-qutrit partially or maximally entangled state with two natural or artificial atoms of a ladder-type level structure, coupled to an optical or microwave cavity.

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Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Circuit QED: generation of two-transmon-qutrit entangled states via resonant interaction

Zheng

Dao-ming

et al. 2018

Quantum Inf Process

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“…During the past decade, a great deal of efforts has been devoted to generating GHZ states in various physical systems. For example, based on cavity or circuit QED, many theoretical methods have been presented for generating multiqubit GHZ states with atoms [12], quantum dots [13,14], and superconducting qubits [15][16][17][18]. A natural question on how to store the prepared GHZ states and how to protect them against decoherence would become interesting and important.…”

Section: Introductionmentioning

confidence: 99%

Transferring multiqubit entanglement onto memory qubits in a decoherence-free subspace

Yang

2017

Quantum Inf Process

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Different from the previous works on generating entangled states, this work is focused on how to transfer the prepared entangled states onto memory qubits for protecting them against decoherence. We here consider a physical system consisting of n operation qubits and 2n memory qubits placed in a cavity or coupled to a resonator. A method is presented for transferring n-qubit Greenberger-Horne-Zeilinger (GHZ) entangled states from the operation qubits (i.e., information processing cells) onto the memory qubits (i.e., information memory elements with long decoherence time). The transferred GHZ states are encoded in a decoherence-free subspace against collective dephasing, and thus can be immune from decoherence induced by a dephasing environment. In addition, the state transfer procedure has nothing to do with the number of qubits, the operation time does not increase with the number of qubits, and no measurement is needed for the state transfer. This proposal can be applied to a wide range of hybrid qubits such as natural atoms and artificial atoms (e.g., various solid-state qubits).

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“…Theoretically, proposals for generating entangled states with SC qubit circuits have been presented [58]. In addition, based on cavity QED or circuit QED, a large number of theoretical methods have been presented for creating multi-qubit GHZ states with various physical systems (e.g., atoms, quantum dots, and SC devices) that are coupled to a single cavity/ resonator mode [59][60][61][62][63][64][65][66][67][68]. However, we note that how to generate GHZ states with qubits in different cavities has not been thoroughly investigated.…”

Section: Introductionmentioning

confidence: 99%

Entangling superconducting qubits in a multi-cavity system

Yang

Zheng

et al. 2016

New J. Phys.

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Important tasks in cavity quantum electrodynamics include the generation and control of quantum states of spatially separated particles distributed in different cavities. An interesting question in this context is how to prepare entanglement among particles located in different cavities, which are important for large-scale quantum information processing. We here consider a multi-cavity system where cavities are coupled to a superconducting (SC) qubit and each cavity hosts many SC qubits. We show that all intra-cavity SC qubits plus the coupler SC qubit can be prepared in an entangled Greenberger-Horne-Zeilinger (GHZ) state, by using a single operation and without the need of measurements. The GHZ state is created without exciting the cavity modes; thus greatly suppressing the decoherence caused by the cavity-photon decay and the effect of unwanted inter-cavity crosstalk on the operation. We also introduce two simple methods for entangling the intra-cavity SC qubits in a GHZ state. As an example, our numerical simulations show that it is feasible, with current circuit-QED technology, to prepare high-fidelity GHZ states, for up to nine SC qubits by using SC qubits distributed in two cavities. This proposal can in principle be used to implement a GHZ state for an arbitrary number of SC qubits distributed in multiple cavities. The proposal is quite general and can be applied to a wide range of physical systems, with the intra-cavity qubits being either atoms, NV centers, quantum dots, or various SC qubits.

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Greenberger-Horne-Zeilinger generation protocol forNsuperconducting transmon qubits capacitively coupled to a quantum bus

Cited by 33 publications

References 39 publications

Circuit QED: generation of two-transmon-qutrit entangled states via resonant interaction

Circuit QED: generation of two-transmon-qutrit entangled states via resonant interaction

Transferring multiqubit entanglement onto memory qubits in a decoherence-free subspace

Entangling superconducting qubits in a multi-cavity system

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