Simple realization of a hybrid controlled-controlled-Z gate with photonic control qubits encoded via eigenstates of the photon-number parity operator

• URL: http://arxiv.org/abs/2306.02229v1
• Date: Sun, 4 Jun 2023 01:42:59 GMT
• Title: Simple realization of a hybrid controlled-controlled-Z gate with photonic control qubits encoded via eigenstates of the photon-number parity operator
• Authors: Qi-Ping Su, Liang Bin, Yu Zhang, and Chui-Ping Yang
• Abstract summary: We propose a simple method to realize a hybrid controlled-controlled-Z (CCZ) gate with two photonic qubits simultaneously controlling a superconducting (SC) target qubit. We discuss how to apply this gate to generate a hybrid Greenberger-Horne-Zeilinger (GHZ) entangled state of a SC qubit and two photonic qubits.
• Score: 3.1240043488226967
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: We propose a simple method to realize a hybrid controlled-controlled-Z (CCZ) gate with two photonic qubits simultaneously controlling a superconducting (SC) target qubit, by employing two microwave cavities coupled to a SC ququart (a four-level quantum system). In this proposal, each control qubit is a photonic qubit, which is encoded by two arbitrary orthogonal eigenstates (with eigenvalues 1 and -1, respectively) of the photon-number parity operator. Since the two arbitrary encoding states can take various quantum states, this proposal can be applied to realize the hybrid CCZ gate, for which the two control photonic qubits can have various encodings. The gate realization is quite simple because only a basic operation is needed. During the gate operation, the higher energy intermediate levels of the ququart are not occupied, and, thus, decoherence from these levels is greatly suppressed. We further discuss how to apply this gate to generate a hybrid Greenberger-Horne-Zeilinger (GHZ) entangled state of a SC qubit and two photonic qubits, which takes a general form. As an example, our numerical simulation demonstrates that high-fidelity generation of a cat-cat-spin hybrid GHZ state is feasible within current circuit QED technology. This proposal is quite general, which can be applied to realize the hybrid CCZ gate as well as to prepare various hybrid GHZ states of a matter qubit and two photonic qubits in other physical systems, such as two microwave or optical cavities coupled to a four-level natural or artificial atom.

Related papers

• Deterministic generation of a 20-qubit two-dimensional photonic cluster state [87.34681687753141]
  We present a device capable of emitting large-scale entangled microwave photonic states in a two dimensional ladder structure. By interleaving two-qubit gates with controlled photon emission, we generate 2 x n grids of time- and frequency-multiplexed cluster states of itinerant microwave photons. We measure a signature of localizable entanglement across up to 20 photonic qubits.
  arXiv  Detail & Related papers  (2024-09-10T16:25:24Z)
• One-step implementation of a multi-target-qubit controlled-phase gate with photonic qubits encoded via eigenstates of the photon-number parity operator [3.1240043488226967]
  Multiqubit gates play an important role in quantum information processing. We propose to encode a photonic qubit via two arbitrary eigenstates of the photon-number parity operator. We show how to apply this gate to generate a multicavity Greenberger-Horne-Zeilinger (GHZ) entangled state with general expression.
  arXiv  Detail & Related papers  (2023-06-04T01:29:00Z)
• Two qubits in one transmon -- QEC without ancilla hardware [68.8204255655161]
  We show that it is theoretically possible to use higher energy levels for storing and controlling two qubits within a superconducting transmon. The additional qubits could be used in algorithms which need many short-living qubits in error correction or by embedding effecitve higher connectivity in qubit networks.
  arXiv  Detail & Related papers  (2023-02-28T16:18:00Z)
• Quantum Gate Generation in Two-Level Open Quantum Systems by Coherent and Incoherent Photons Found with Gradient Search [77.34726150561087]
  We consider an environment formed by incoherent photons as a resource for controlling open quantum systems via an incoherent control. We exploit a coherent control in the Hamiltonian and an incoherent control in the dissipator which induces the time-dependent decoherence rates.
  arXiv  Detail & Related papers  (2023-02-28T07:36:02Z)
• Experimental realization of deterministic and selective photon addition in a bosonic mode assisted by an ancillary qubit [50.591267188664666]
  Bosonic quantum error correcting codes are primarily designed to protect against single-photon loss. Error correction requires a recovery operation that maps the error states -- which have opposite parity -- back onto the code states. Here, we realize a collection of photon-number-selective, simultaneous photon addition operations on a bosonic mode.
  arXiv  Detail & Related papers  (2022-12-22T23:32:21Z)
• All-optical quantum computing using cubic phase gates [0.0]
  We show how elements of all-optical, universal, and fault-tolerant quantum computation can be implemented. Our approach is based on a decomposition technique combining exact gate decompositions and approximate Trotterization.
  arXiv  Detail & Related papers  (2022-11-16T17:21:30Z)
• Multi-squeezed state generation and universal bosonic control via a driven quantum Rabi model [68.8204255655161]
  Universal control over a bosonic degree of freedom is key in the quest for quantum-based technologies. Here we consider a single ancillary two-level system, interacting with the bosonic mode of interest via a driven quantum Rabi model. We show that it is sufficient to induce the deterministic realization of a large class of Gaussian and non-Gaussian gates, which in turn provide universal bosonic control.
  arXiv  Detail & Related papers  (2022-09-16T14:18:53Z)
• Single-step implementation of a hybrid controlled-NOT gate with one superconducting qubit simultaneously controlling multiple target cat-state qubits [3.8355893560092893]
  Hybrid quantum gates play significant roles in connecting quantum information processors with qubits of different encoding. We propose a single-step implementation of a multi-target-qubit controlled-NOT gate with one superconducting (SC) qubit simultaneously controlling $n$ target cat-state qubits. As an application of this hybrid multi-target-qubit gate, we discuss the generation of a hybrid Greenberger-Horne-Zeilinger (GHZ) entangled state of SC qubits and cat-state qubits.
  arXiv  Detail & Related papers  (2022-08-28T02:17:47Z)
• Hybrid controlled-SUM gate with one superconducting qutrit and one cat-state qutrit and application in hybrid entangled state preparation [3.412750324146571]
  We propose a simple method to realize a hybrid quantum controlled-SUM gate with one superconducting (SC) qutrit and a cat-state qutrit. Our proposal is based on circuit QED and operates essentially by employing a SC ququart dispersively coupled to a microwave cavity. As an application of this gate, we discuss the generation of a hybrid maximally-entangled state of one SC qutrit and one cat-state qutrit.
  arXiv  Detail & Related papers  (2022-08-28T01:48:25Z)
• Efficient scheme for realizing a multiplex-controlled phase gate with photonic qubits in circuit quantum electrodynamics [3.412750324146571]
  We propose a multiplexed-controlled phase gate with multiple photonic qubits simultaneously controlling one target photonic qubit. The gate is realized by using a two-level coupler to couple multiple cavities. 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.
  arXiv  Detail & Related papers  (2022-04-08T13:58:49Z)
• Quantum control landscape for ultrafast generation of single-qubit phase shift quantum gates [68.8204255655161]
  We consider the problem of ultrafast controlled generation of single-qubit phase shift quantum gates. Globally optimal control is a control which realizes the gate with maximal possible fidelity. Trap is a control which is optimal only locally but not globally.
  arXiv  Detail & Related papers  (2021-04-26T16:38:43Z)

This list is automatically generated from the titles and abstracts of the papers in this site.

This site does not guarantee the quality of this site (including all information) and is not responsible for any consequences.