Simple realization of a hybrid controlled-controlled-Z gate with photonic control qubits encoded via eigenstates of the photon-number parity operator
arXiv:2306.02229 · doi:10.1063/5.0138627
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.
arXiv comment7 pages, 4 figures, 1 table
References in corpus (36)
- Cavity quantum electrodynamics for superconducting electrical circuits: an architecture for quantum computation
- Beyond the Jaynes-Cummings model: circuit QED in the ultrastrong coupling regime
- Atomic physics and quantum optics using superconducting circuits
- Microwave photonics with superconducting quantum circuits
- Quantum computation with ions in thermal motion
- Parallel implementation of high-fidelity multi-qubit gates with neutral atoms
- Quantum computers can search rapidly by using almost any transformation
- The Flux Qubit Revisited to Enhance Coherence and Reproducibility
- Hybrid quantum information processing
- Effective Hamiltonian Theory and Its Applications in Quantum Information
- Implementation of a Toffoli Gate with Superconducting Circuits
- Quantum information processing with superconducting qubits in a microwave field
- Optical selection rules and phase-dependent adiabatic state control in a superconducting quantum circuit
- A Schrodinger Cat Living in Two Boxes
- Efficient Toffoli Gates Using Qudits
- CNOT and Bell-state analysis in the weak-coupling cavity QED regime
- Possible realization of entanglement, logical gates and quantum information transfer with superconducting-quantum-interference-device qubits in cavity QED
- Low-decoherence flux qubit
- Determining interface dielectric losses in superconducting coplanar waveguide resonators
- Implementation of a three-quantum-bit search algorithm
- Factoring 2048-bit RSA Integers in 177 Days with 13436 Qubits and a Multimode Memory
- High-fidelity three-qubit iToffoli gate for fixed-frequency superconducting qubits
- Continuous-variable geometric phase and its manipulation for quantum computation in a superconducting circuit
- Generation of GHZ entangled states of photons in multiple cavities via a superconducting qutrit or an atom through resonant interaction
- Hybrid Atom--Photon Quantum Gate in a Superconducting Microwave Resonator
- Comparison of Dielectric Loss in Titanium Nitride and Aluminum Superconducting Resonators
- Fast multi-qubit gates through simultaneous two-qubit gates
- Coexistence of multi-photon processes and longitudinal couplings in superconducting flux qubits
- Extensive characterization of a family of efficient three-qubit gates at the coherence limit
- A long-lived capacitively shunted flux qubit embedded in a 3D cavity
- Modularization of multi-qubit controlled phase gate and its NMR implementation
- Universal quantum gate with hybrid qubits in circuit quantum electrodynamics
- A Hybrid Rydberg Quantum Gate for Quantum Network
- Hybrid Qubit gates in circuit QED: A scheme for quantum bit encoding and information processing
- Single-step transfer or exchange of multipartite quantum entanglement with minimum resources
- Hybrid Two-Qubit Gate using Circuit QED System with Triple-Leg Stripline Resonator