Microwave-based Arbitrary CPHASE Gates for Transmon Qubits

Abstract

Superconducting transmon qubits are of great interest for quantum computing and quantum simulation. A key component of quantum chemistry simulation algorithms is breaking up the evolution into small steps, which naturally leads to the need for non-maximally entangling, arbitrary CPHASE gates. Here we design such microwave-based gates using an analytically solvable approach leading to smooth, simple pulses. We use the local invariants of the evolution operator in $SU(4)$ to develop a method of constructing pulse protocols, which allows for the continuous tuning of the phase. We find CPHASE fidelities of more than $0.999$ and gate times as low as $100\text{ ns}$.

References in corpus (43)

• Quantum Computing in the NISQ era and beyond
• Mixed State Entanglement and Quantum Error Correction
• Charge insensitive qubit design derived from the Cooper pair box
• Hardware-efficient Variational Quantum Eigensolver for Small Molecules and Quantum Magnets
• Quantum Simulation
• Logic gates at the surface code threshold: Superconducting qubits poised for fault-tolerant quantum computing
• Coupling Superconducting Qubits via a Cavity Bus
• Microwave photonics with superconducting quantum circuits
• Demonstration of Two-Qubit Algorithms with a Superconducting Quantum Processor
• Simple pulses for elimination of leakage in weakly nonlinear qubits
• Scalable Quantum Simulation of Molecular Energies
• Preparation and Measurement of Three-Qubit Entanglement in a Superconducting Circuit
• Qubit architecture with high coherence and fast tunable coupling
• Efficient Z-Gates for Quantum Computing
• Procedure for systematically tuning up crosstalk in the cross resonance gate
• A simple all-microwave entangling gate for fixed-frequency superconducting qubits
• Robust determination of molecular spectra on a quantum processor
• A geometric theory of non-local two-qubit operations
• Nonlocal properties of two-qubit gates and mixed states and optimization of quantum computations
• Fidelity of quantum operations
• A universal gate for fixed-frequency qubits via a tunable bus
• Analytic control methods for high fidelity unitary operations in a weakly nonlinear oscillator
• Fabrication and characterization of superconducting circuit QED devices for quantum computation
• Effective Hamiltonian models of the cross-resonance gate
• Fast adiabatic qubit gates using only ${\sigma }_z$ control
• Experimental demonstration of a resonator-induced phase gate in a multi-qubit circuit QED system
• Microwave-activated conditional-phase gate for superconducting qubits
• Improving frequency selection of driven pulses using derivative-based transition suppression
• Operation and intrinsic error budget of a two-qubit cross-resonance gate
• Analysis of parametrically driven exchange-type (iSWAP) and two-photon (bSWAP) interactions between superconducting qubits
• High-fidelity CZ gate for resonator-based superconducting quantum computers
• Entanglement generation in superconducting qubits using holonomic operations
• Analytical approach to swift nonleaky entangling gates in superconducting qubits
• Simultaneous gates in frequency-crowded multilevel systems using fast, robust, analytic control shapes
• Fast and High-Fidelity Entangling Gate through Parametrically Modulated Longitudinal Coupling
• Optimal control of two qubits via a single cavity drive in circuit quantum electrodynamics
• Robustness of error-suppressing entangling gates in cavity-coupled transmon qubits
• Fast microwave-driven three-qubit gates for cavity-coupled superconducting qubits
• High fidelity quantum gates via analytically solvable pulses
• Implementation of a generalized CNOT gate between fixed-frequency transmons
• Generation of high-fidelity controlled-not logic gates by coupled superconducting qubits
• Qubit gates using hyperbolic secant pulses
• Minimal Time Robust Control for Two Superconducting Qubits

Cited by in corpus (6)

• Experimental accreditation of outputs of noisy quantum computers
• Coherent preparation of the biexciton state in a semiconductor quantum dot coupled to a metallic nanoparticle
• Implementing two-qubit gates at the quantum speed limit
• A universal quantum gate set for transmon qubits with strong ZZ interactions
• Classical-Quantum Noise Mitigation for NISQ Hardware
• Optimized fermionic SWAP networks with equivalent circuit averaging for QAOA