Fast multi-qubit gates through simultaneous two-qubit gates

Abstract

Near-term quantum computers are limited by the decoherence of qubits to only being able to run low-depth quantum circuits with acceptable fidelity. This severely restricts what quantum algorithms can be compiled and implemented on such devices. One way to overcome these limitations is to expand the available gate set from single- and two-qubit gates to multi-qubit gates, which entangle three or more qubits in a single step. Here, we show that such multi-qubit gates can be realized by the simultaneous application of multiple two-qubit gates to a group of qubits where at least one qubit is involved in two or more of the two-qubit gates. Multi-qubit gates implemented in this way are as fast as, or sometimes even faster than, the constituent two-qubit gates. Furthermore, these multi-qubit gates do not require any modification of the quantum processor, but are ready to be used in current quantum-computing platforms. We demonstrate this idea for two specific cases: simultaneous controlled-Z gates and simultaneous iSWAP gates. We show how the resulting multi-qubit gates relate to other well-known multi-qubit gates and demonstrate through numerical simulations that they would work well in available quantum hardware, reaching gate fidelities well above 99 %. We also present schemes for using these simultaneous two-qubit gates to swiftly create large entangled states like Dicke and Greenberg-Horne-Zeilinger states.

arXiv comment25 pages, 14 figures

References in corpus (133)

• Quantum entanglement
• Quantum Computing in the NISQ era and beyond
• Supplementary information for "Quantum supremacy using a programmable superconducting processor"
• A variational eigenvalue solver on a quantum processor
• Elementary gates for quantum computation
• Charge insensitive qubit design derived from the Cooper pair box
• Three qubits can be entangled in two inequivalent ways
• Variational Quantum Algorithms
• Quantum Simulation
• Quantum information with Rydberg atoms
• QuTiP 2: A Python framework for the dynamics of open quantum systems
• Quantum Communication
• QuTiP: An open-source Python framework for the dynamics of open quantum systems
• Circuit Quantum Electrodynamics
• A Quantum Engineer's Guide to Superconducting Qubits
• A Quantum Approximate Optimization Algorithm
• Quantum metrology with nonclassical states of atomic ensembles
• Quantum computational chemistry
• Fast quantum gates for neutral atoms
• Quantum Chemistry in the Age of Quantum Computing
• Superconducting Qubits: Current State of Play
• Trapped-Ion Quantum Computing: Progress and Challenges
• Microwave photonics with superconducting quantum circuits
• Quantum fingerprinting
• Demonstration of Two-Qubit Algorithms with a Superconducting Quantum Processor
• Strong quantum computational advantage using a superconducting quantum processor
• Measurement-based quantum computation
• Quantum algorithms: an overview
• Observation of three-photon Greenberger-Horne-Zeilinger entanglement
• Quantum information processing with superconducting circuits: a review
• Hamiltonian Simulation by Qubitization
• Quantum algorithms for quantum chemistry and quantum materials science
• From the Quantum Approximate Optimization Algorithm to a Quantum Alternating Operator Ansatz
• A simple formula for the average gate fidelity of a quantum dynamical operation
• Quantum computing with atomic qubits and Rydberg interactions: Progress and challenges
• Quantum computing for finance: overview and prospects
• Generation and manipulation of Schrödinger cat states in Rydberg atom arrays
• Parallel implementation of high-fidelity multi-qubit gates with neutral atoms
• Realization of Three-Qubit Quantum Error Correction with Superconducting Circuits
• Demonstration of the trapped-ion quantum-CCD computer architecture
• A simple all-microwave entangling gate for fixed-frequency superconducting qubits
• Generation of Three-Qubit Entangled States using Superconducting Phase Qubits
• Non-adiabatic holonomic quantum computation
• Implementation of a Toffoli Gate with Superconducting Circuits
• A compact ion-trap quantum computing demonstrator
• Encoding Electronic Spectra in Quantum Circuits with Linear T Complexity
• Quantum algorithms for electronic structure calculations: particle/hole Hamiltonian and optimized wavefunction expansions
• Quantum Computing for Finance: State of the Art and Future Prospects
• Experimental Realization of Non-Abelian Geometric Gates
• Realization of the quantum Toffoli gate with trapped ions
• Observation of Entangled States of a Fully Controlled 20-Qubit System
• Demonstrating a Continuous Set of Two-qubit Gates for Near-term Quantum Algorithms
• A universal gate for fixed-frequency qubits via a tunable bus
• Experimental realization of Dicke states of up to six qubits for multiparty quantum networking
• Demonstration of Universal Parametric Entangling Gates on a Multi-Qubit Lattice
• Experimental entanglement of a six-photon symmetric Dicke state
• Fast quantum logic gates with trapped-ion qubits
• Quantum Process Tomography of a Universal Entangling Gate Implemented with Josephson Phase Qubits
• Realization of high-fidelity CZ and ZZ-free iSWAP gates with a tunable coupler
• Open quantum systems with local and collective incoherent processes: Efficient numerical simulation using permutational invariance
• A Rydberg blockade CNOT gate and entanglement in a 2D array of neutral atom qubits
• Experimental investigations of the dipolar interactions between single Rydberg atoms
• Natural two-qubit gate for quantum computation using the XY interaction
• Quantum logic gates for coupled superconducting phase qubits
• Parametrically Activated Entangling Gates Using Transmon Qubits
• Plug-and-Play Approach to Non-adiabatic Geometric Quantum Gates
• Deterministic Dicke state preparation with continuous measurement and control
• A quantum Fredkin gate
• Quantum computing and the entanglement frontier
• Verifying Multipartite Entangled GHZ States via Multiple Quantum Coherences
• Gate-efficient simulation of molecular eigenstates on a quantum computer
• 16-qubit IBM universal quantum computer can be fully entangled
• Diabatic gates for frequency-tunable superconducting qubits
• Deterministic Preparation of Dicke States
• High-fidelity controlled-Z gate with maximal intermediate leakage operating at the speed limit in a superconducting quantum processor
• Quantum Algorithm for Spectral Measurement with Lower Gate Count
• Implementation of the XY interaction family with calibration of a single pulse
• Fast multi-qubit gates by adiabatic evolution in interacting excited state manifolds
• Entanglement in a 20-Qubit Superconducting Quantum Computer
• Sub-microsecond entangling gate between trapped ions via Rydberg interaction
• Time-domain characterization and correction of on-chip distortion of control pulses in a quantum processor
• Entanglement Stabilization using Parity Detection and Real-Time Feedback in Superconducting Circuits
• Analysis of parametrically driven exchange-type (iSWAP) and two-photon (bSWAP) interactions between superconducting qubits
• Quantum bits with Josephson junctions
• Entanglement generation in superconducting qubits using holonomic operations
• Nonadiabatic holonomic single-qubit gates in off-resonant $\Lambda$ systems
• Improved success probability with greater circuit depth for the quantum approximate optimization algorithm
• Designing High-Fidelity Single-Shot Three-Qubit Gates: A Machine Learning Approach
• Demonstration of two-atom entanglement with ultrafast optical pulses
• Preparation of Dicke States in an Ion Chain
• Benchmarking the noise sensitivity of different parametric two-qubit gates in a single superconducting quantum computing platform
• Circuit design for multi-body interactions in superconducting quantum annealing system with applications to a scalable architecture
• Single-step implementation of high fidelity $n$-bit Toffoli gate
• Many-Body Interactions with Tunable-Coupling Transmon Qubits
• Quantum metrology with one-dimensional superradiant photonic states
• Realization of efficient quantum gates with a superconducting qubit-qutrit circuit
• Building quantum neural networks based on swap test
• Asymmetric blockade and multi-qubit gates via dipole-dipole interactions
• Experimental Quantum Networking Protocols via Four-Qubit Hyperentangled Dicke States
• Experimental state control by fast non-Abelian holonomic gates with a superconducting qutrit
• One-step implementation of a hybrid Fredkin gate with quantum memories and single superconducting qubit in circuit QED and its applications
• A programmable three-qubit superconducting processor with all-to-all connectivity
• Protocol for a resonantly-driven three-qubit Toffoli gate with silicon spin qubits
• Quantum simulation of three-body interactions in weakly driven quantum systems
• Generation of Dicke States with Phonon-Mediated Multi-level Stimulated Raman Adiabatic Passage
• Delocalized information in quantum networks
• Tunable inductive coupling of superconducting qubits in the strongly nonlinear regime
• Quantum gates and architecture for the quantum simulation of the Fermi-Hubbard model
• Quantum algorithms with local particle number conservation: noise effects and error correction
• Maximally entangling tripartite protocols for Josephson phase qubits
• Fast microwave-driven three-qubit gates for cavity-coupled superconducting qubits
• Switchable next-nearest-neighbor coupling for controlled two-qubit operations
• Creation of arbitrary Dicke and NOON states of trapped-ion qubits by global addressing with composite pulses
• Deterministic generation of arbitrary symmetric states and entanglement classes
• Simple implementation of high fidelity controlled-$i$SWAP gates and quantum circuit exponentiation of non-Hermitian gates
• Universal gates for transforming multipartite entangled Dicke states
• Realization of a deterministic quantum Toffoli gate with a single photon
• Native three-body interaction in superconducting circuits
• Realisation of adiabatic and diabatic CZ gates in superconducting qubits coupled with a tunable coupler
• Synthesizing multi-phonon quantum superposition states using flux-mediated three-body interactions with superconducting qubits
• Testing Scalable Bell Inequalities for Quantum Graph States on IBM Quantum Devices
• Quantum interference device for controlled two-qubit operations
• A high-fidelity method for a single-step $N$-bit Toffoli gate in trapped ions
• Adiabatic quantum simulations with driven superconducting qubits
• Nonpairwise interactions induced by virtual transitions in four coupled artificial atoms
• Machine-learning based three-qubit gate for realization of a Toffoli gate with cQED-based transmon systems
• Application of the Diamond Gate in Quantum Fourier Transformations and Quantum Machine Learning
• Implementation of the iFREDKIN gate in scalable superconducting architecture for the quantum simulation of Fermionic systems
• On Actual Preparation of Dicke State on a Quantum Computer
• Supercomputer simulations of transmon quantum computers
• Multiple-qubit Rydberg quantum logic gate via dressed-states scheme
• Entangling power of holonomic gates in atom-cavity systems
• Spheroidal-structure-based multi-qubit Toffoli gate via asymmetric Rydberg interaction

Cited by in corpus (30)

• Noisy intermediate-scale quantum computers
• High-fidelity three-qubit iToffoli gate for fixed-frequency superconducting qubits
• Universal fidelity reduction of quantum operations from weak dissipation
• Is quantum computing green? An estimate for an energy-efficiency quantum advantage
• Scalable algorithm simplification using quantum AND logic
• Extensive characterization of a family of efficient three-qubit gates at the coherence limit
• Controlled-Controlled-Phase Gates for Superconducting Qubits Mediated by a Shared Tunable Coupler
• Superposed Quantum Error Mitigation
• Enhancing Quantum Computation via Superposition of Quantum Gates
• Impact of decoherence on the fidelity of quantum gates leaving the computational subspace
• Direct Implementation of High-Fidelity Three-Qubit Gates for Superconducting Processor with Tunable Couplers
• Resource analysis of quantum algorithms for coarse-grained protein folding models
• Simple realization of a hybrid controlled-controlled-Z gate with photonic control qubits encoded via eigenstates of the photon-number parity operator
• Machine-learning-inspired quantum optimal control of nonadiabatic geometric quantum computation via reverse engineering
• Constant-depth circuits for Boolean functions and quantum memory devices using multi-qubit gates
• Parity-dependent state transfer for direct entanglement generation
• Parametric multi-element coupling architecture for coherent and dissipative control of superconducting qubits
• Numerical analysis of effective models for flux-tunable transmon systems
• Efficient multi-qubit subspace rotations via topological quantum walks
• On the fragility of gate-error metrics in simulation models of flux-tunable transmon quantum computers
• Multi-qubit DC gates over an inhomogeneous array of quantum dots
• High-fidelity multipartite entanglement creation in non-Hermitian qubits
• Scalable quantum simulator with an extended gate set in giant atoms
• Microwave-activated high-fidelity three-qubit gate scheme for fixed-frequency superconducting qubits
• Concurrent Fermionic Simulation Gate
• Multipartite entangling power by von Neumann entropy
• Overhead in Quantum Circuits with Time-Multiplexed Qubit Control
• Effective non-local parity-dependent couplings in qubit chains
• Parity Cross-Resonance: A Multiqubit Gate
• Meson dynamics from locally exciting a particle-conserving $Z_2$ lattice gauge theory