Circuit QED: single-step realization of a multiqubit controlled phase gate with one microwave photonic qubit simultaneously controlling n − 1 microwave photonic qubits

Ye, Biao‐Liang; Zheng, Zhen-Fei; Yu, Zhongbo; Yang, Chui‐Ping

doi:10.1364/oe.26.030689

Cited by 21 publications

(9 citation statements)

References 77 publications

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“…We stress that this work is on the implementation of a MCP gate with multiple control qubits simultaneously controlling one target qubit (Fig. 1b), thus it is obviously different from the previous works (e.g., [20,[60][61][62][63][64][65][66][67][68]) on the realization of a multi-target-qubit gate with one control qubit simultaneously controlling multiple target qubits (Fig. 2).…”

Section: Introductionmentioning

confidence: 79%

Efficient scheme for realizing a multiplex-controlled phase gate with photonic qubits in circuit quantum electrodynamics

Su¹,

Liang²,

Yang³

2022

Preprint

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We propose an efficient scheme to implement a multiplex-controlled phase gate with multiple photonic qubits simultaneously controlling one target photonic qubit based on circuit quantum electrodynamics (QED). For convenience, we denote this multiqubit gate as MCP gate. The gate is realized by using a two-level coupler to couple multiple cavities. The coupler here is a superconducting qubit. This scheme is simple because the gate implementation requires only one step of operation. In addition, this scheme is quite general because the two logic states of each photonic qubit can be encoded with a vacuum state and an arbitrary non-vacuum state |ϕ (e.g., a Fock state, a superposition of Fock states, a cat state, or a coherent state, etc.) which is orthogonal or quasi-orthogonal to the vacuum state. The scheme has some additional advantages: Because only two levels of the coupler are used, i.e., no auxiliary levels are utilized, decoherence from higher energy levels of the coupler is avoided; the gate operation time does not depend on the number of qubits; and the gate is implemented deterministically because no measurement is applied. As an example, we numerically analyze the circuit-QED based experimental feasibility of implementing a three-qubit MCP gate with photonic qubits each encoded via a vacuum state and a cat state.The scheme can be applied to accomplish the same task in a wide range of physical system, which consists of multiple microwave or optical cavities coupled to a two-level coupler such as a natural or artificial atom.

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Section: Introductionmentioning

confidence: 79%

Efficient scheme for realizing a multiplex-controlled phase gate with photonic qubits in circuit quantum electrodynamics

Su¹,

Liang²,

Yang³

2022

Preprint

Self Cite

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“…It provides a larger state space for processing information, and thus has simplified quantum algorithms [65], improved quantum error correction [12], and enables native quantum simulation of certain physical systems [5]. In recent years, qudit-based quantum computation has been realised with ion traps [51,39], photonic devices [16], and superconducting devices [8,67,68,38].…”

Section: Higher-dimensional Quantum Graphical Calculimentioning

confidence: 99%

Completeness for arbitrary finite dimensions of ZXW-calculus, a unifying calculus

Poór¹,

Wang²,

Shaikh³

et al. 2023

Preprint

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The ZX-calculus is a universal graphical language for qubit quantum computation, meaning that every linear map between qubits can be expressed in the ZX-calculus. Furthermore, it is a complete graphical rewrite system: any equation involving linear maps that is derivable in the Hilbert space formalism for quantum theory can also be derived in the calculus by rewriting. It has widespread usage within quantum industry and academia for a variety of tasks such as quantum circuit optimisation, error-correction, and education.The ZW-calculus is an alternative universal graphical language that is also complete for qubit quantum computing. In fact, its completeness was used to prove that the ZX-calculus is universally complete. This calculus has advanced how quantum circuits are compiled into photonic hardware architectures in the industry.Recently, by combining these two calculi, a new calculus has emerged for qubit quantum computation, the ZXW-calculus. Using this calculus, graphical-differentiation, -integration, and -exponentiation were made possible, thus enabling the development of novel techniques in the domains of quantum machine learning and quantum chemistry.Here, we generalise the ZXW-calculus to arbitrary finite dimensions, that is, to qudits.

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“…The direct realization of a Toffoli gate of three physical qubits has been experimentally demonstrated in various physical systems [11][12][13]. In addition, based on cavity or circuit QED, many schemes have been presented for the direct realization of a multi-control-qubit gate [14][15][16][17][18][19][20][21][22] and a multi-target-qubit gate [23][24][25][26][27][28][29] with physical qubits.…”

Section: Introductionmentioning

confidence: 99%

Implementing a multi-target-qubit controlled-not gate with logical qubits outside a decoherence-free subspace and its application in creating quantum entangled states

Yang

Nori

2020

Phys. Rev. A

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In general, implementing a multi-logical-qubit gate by manipulating quantum states in a decoherence-free subspace (DFS) becomes more complex and difficult when increasing the number of logical qubits. In this work, we propose a novel idea to realize quantum gates by manipulating quantum states outside their DFS but having the states of the logical qubits remain in their DFS before and after the gate operation. This proposal has the following features: (i) Because the states are manipulated outside the DFS, the multi-qubit gate implementation can be simplified when compared to realizing a multiqubit gate via manipulating quantum states within the DFS, which usually requires unitary operations over a large DFS; and (ii) Because the states of the logical qubits return to the DFS after the gate operation, the errors caused by decoherence during the gate operation are not accumulated for a long-running calculation, and the states of the logical qubits are immune to decoherence when they are stored. Based on this proposal, we then present a way for realizing a multi-target-qubit controlled NOT gate using logical qubits encoded in a decoherence-free subspace (DFS) against collective dephasing. This gate is realized by employing qutrits (three-level quantum systems) placed in a cavity or coupled to a resonator. This proposal has the following advantages: (i) The states of the logical qubits return to their DFS after the gate operation; (ii) The gate can be implemented with only a few basic operations; (iii) The gate operation time is independent of the number of logical qubits; (iv) This gate can be deterministically implemented because no measurement is needed; (v) The intermediate higher-energy level for all qutrits is not occupied during the entire operation, thus decoherence from this level is greatly suppressed; and (vi) This proposal is universal and can be applied to realize the proposed gate using natural atoms or artificial atoms (e.g., quantum dots, NV centers, and various superconducting qutrits, etc.) placed in a cavity or coupled to a resonator. As an application, we also show how to apply this gate to create a Greenberger-Horne-Zeilinger (GHZ) entangled state of multiple logical qubits encoded in DFS, and further investigate the experimental feasibility for creating the GHZ state of three logical qubits in the DFS, by using six superconducting transmon qutrits coupled to a one-dimensional coplanar waveguide resonator.

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Circuit QED: single-step realization of a multiqubit controlled phase gate with one microwave photonic qubit simultaneously controlling n − 1 microwave photonic qubits

Cited by 21 publications

References 77 publications

Efficient scheme for realizing a multiplex-controlled phase gate with photonic qubits in circuit quantum electrodynamics

Efficient scheme for realizing a multiplex-controlled phase gate with photonic qubits in circuit quantum electrodynamics

Completeness for arbitrary finite dimensions of ZXW-calculus, a unifying calculus

Implementing a multi-target-qubit controlled-not gate with logical qubits outside a decoherence-free subspace and its application in creating quantum entangled states

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