Robust Ising Gates for Practical Quantum Computation

Abstract

I describe the use of techniques based on composite rotations to combat systematic errors in controlled phase gates, which form the basis of two qubit quantum logic gates. Although developed and described within the context of Nuclear Magnetic Resonanace (NMR) quantum computing these sequences should be applicable to any implementation of quantum computation based on Ising couplings. In combination with existing single qubit gates this provides a universal set of robust quantum logic gates.

3 Pages RevTex4 including 2 figures. Will submit to PRL

References in corpus (7)

• Elementary gates for quantum computation
• Persistent entanglement in arrays of interacting particles
• Experimental realization of Shor's quantum factoring algorithm using nuclear magnetic resonance
• Quiet SDS Josephson Junctions for Quantum Computing
• Implementation of a Quantum Algorithm to Solve Deutsch's Problem on a Nuclear Magnetic Resonance Quantum Computer
• Efficient fault-tolerant quantum computing
• Use of composite rotations to correct systematic errors in NMR quantum computation

Cited by in corpus (57)

• NMR Techniques for Quantum Control and Computation
• Arbitrarily accurate composite pulses
• Benchmarking quantum control methods on a 12-qubit system
• Quantum Computing with NMR
• Quantum information processing with trapped ions
• Quantum computers as universal quantum simulators: state-of-art and perspectives
• Globally controlled quantum wires for perfect qubit transport, mirroring and computing
• Noise-resistant control for a spin qubit array
• Robust quantum gates for singlet-triplet spin qubits using composite pulses
• Robust state preparation of a single trapped ion by adiabatic passage
• Robust CNOT gates from almost any interaction
• The Wavefunction of an Anyon
• Entangling an arbitrary pair of qubits in a long ion crystal
• Arbitrary precision composite pulses for NMR quantum computing
• A quantum computer using a trapped-ion spin molecule and microwave radiation
• Principles of Control for Decoherence-Free Subsystems
• Ultrahigh-fidelity composite rotational quantum gates
• Multi-qubit compensation sequences
• Hidden Inverses: Coherent Error Cancellation at the Circuit Level
• Composite two-qubit gates
• Geometric Aspects of Composite Pulses
• Quantum error correction of systematic errors using a quantum search framework
• Stabilizer Slicing: Coherent Error Cancellations in LDPC Codes
• A precise CNOT gate in the presence of large fabrication induced variations of the exchange interaction strength
• Robust control of a NOT gate by composite pulses
• Control of Inhomogeneous Ensembles on The Bloch Sphere
• Dynamically Correcting a CNOT Gate for any Systematic Logical Error
• Further analysis of some symmetric and antisymmetric composite pulses for tackling pulse strength errors
• Controlling error orientation to improve quantum algorithm success rates
• Dicke-state preparation through global transverse control of Ising-coupled qubits
• Robust Logic Gates and Realistic Quantum Computation
• Improving the gate fidelity of capacitively coupled spin qubits
• Pulse sequence designed for robust C-phase gates in SiMOS and Si/SiGe double quantum dots
• Effect of system level structure and spectral distribution of the environment on the decoherence rate
• Robustness of quantum algorithms against coherent control errors
• Interconversion of $W$ and Greenberger-Horne-Zeilinger states for Ising-coupled qubits with transverse global control
• Tuning entanglement and ergodicity in two-dimensional spin systems using impurities and anisotropy
• Refocusing two qubit gate noise for trapped ions by composite pulses
• Minimal and Robust Composite Two-Qubit Gates with Ising-Type Interaction
• Optimizing Stabilizer Parities for Improved Logical Qubit Memories
• Angle-robust Two-Qubit Gates in a Linear Ion Crystal
• General classification of qubit encodings in ultracold diatomic molecules
• Suppressing Weak Ising Couplings: Tailored Gates for Quantum Computation
• Rescaling interactions for quantum control
• Drive-noise tolerant optical switching inspired by composite pulses
• Three-state coherent control using narrowband and passband sequences
• Quantifying Entanglement in Cluster States Built with Error-Prone Interactions
• Experimental implementation of arbitrary entangled operations
• Implementing controlled-NOT gate based on free spin qubits with semiconductor quantum-dot array
• Local Gradient Optimization of Modular Entangling Sequences
• Protecting coherence from the environment via Stark many-body localization in a Quantum-Dot Simulator
• Perfect Cluster States from Imperfect Global Entanglement
• Local gradient optimization of leakage-suppressing entangling sequences
• Construction of Entangled Many-body States via the Higgs Mechanism
• Signature candidate of quantum chaos far from the semiclassical regime
• Scaling of Computational Order Parameters in Rydberg Atom Graph States
• Robust quantum information processing with techniques from liquid state NMR