High fidelity quantum gates via analytically solvable pulses

Abstract

It is shown that a family of analytically solvable pulses can be used to obtain high fidelity quantum phase gates with surprising robustness against imperfections in the system or pulse parameters. Phase gates are important because they can implement the necessary operations for universal quantum computing. They are particularly suited for systems such as self-assembled quantum dots, trapped ions, and defects in solids, as these are typically manipulated by the transient excitation of a state outside the qubit subspace.

Typo in Eq. 1 corrected from previous version

References in corpus (13)

• Quantum information with Rydberg atoms
• Demonstration of Two-Qubit Algorithms with a Superconducting Quantum Processor
• Ultrafast optical control of entanglement between two quantum dot spins
• Ultrafast optical rotations of electron spins in quantum dots
• Bang-bang control of fullerene qubits using ultra-fast phase gates
• Ultrafast Gates for Single Atomic Qubits
• Robust quantum dot state preparation via adiabatic passage with frequency-swept optical pulses
• Quantum state preparation in semiconductor dots by adiabatic rapid passage
• Coherent optical control of the spin of a single hole in a quantum dot
• Theory of fast optical spin rotation in a quantum dot based on geometric phases and trapped states
• Fast spin rotations by optically controlled geometric phases in a quantum dot
• Optically induced rotation of a quantum dot exciton spin
• Nonadiabatic geometric rotation of electron spin in a quantum dot by 2Pi hyperbolic secant pulses

Cited by in corpus (16)

• Analytically solvable driven time-dependent two-level quantum systems
• Exactly solvable two-level quantum systems and Landau-Zener interferometry
• Analytical approach to swift nonleaky entangling gates in superconducting qubits
• Doubly geometric quantum control
• Photonic graph state generation from quantum dots and color centers for quantum communications
• Fast high-fidelity entangling gates for spin qubits in Si double quantum dots
• Fast microwave-driven three-qubit gates for cavity-coupled superconducting qubits
• Strong Hyperfine-Induced Modulation of an Optically-Driven Hole Spin in an InAs Quantum Dot
• Fast Two-Qubit Gates in Semiconductor Quantum Dots using a Photonic Microcavity
• Qubit gates using hyperbolic secant pulses
• Coherent preparation of the biexciton state in a semiconductor quantum dot coupled to a metallic nanoparticle
• Microwave-based Arbitrary CPHASE Gates for Transmon Qubits
• Fidelity of optically induced single-spin rotations in semiconductor quantum dots in the presence of nuclear spins
• Dynamics of observables and exactly solvable quantum problems: Using time-dependent density functional theory to control quantum systems
• Microwave-activated high-fidelity three-qubit gate scheme for fixed-frequency superconducting qubits
• Fast magnetic field manipulations and nonadiabatic geometric phases of nitrogen-vacancy center spin in diamond