Use of global interactions in efficient quantum circuit constructions

Abstract

In this paper we study the ways to use a global entangling operator to efficiently implement circuitry common to a selection of important quantum algorithms. In particular, we focus on the circuits composed with global Ising entangling gates and arbitrary addressable single-qubit gates. We show that under certain circumstances the use of global operations can substantially improve the entangling gate count.

New J. Phys., in press (2017)

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Cited by in corpus (30)

• A generative modeling approach for benchmarking and training shallow quantum circuits
• Quantum Computer Systems for Scientific Discovery
• Scalable global entangling gates on arbitrary ion qubits
• Noisy intermediate-scale quantum computers
• Efficient Arbitrary Simultaneously Entangling Gates on a trapped-ion quantum computer
• Approximate Quantum Fourier Transform with $O(n\log (n))$ T gates
• Scalable algorithm simplification using quantum AND logic
• Generalized quantum circuit differentiation rules
• Theory of robust multi-qubit non-adiabatic gates for trapped-ions
• Constructing quantum circuits with global gates
• Resource-Optimized Fermionic Local-Hamiltonian Simulation on Quantum Computer for Quantum Chemistry
• Synthesis of and compilation with time-optimal multi-qubit gates
• Constant-cost implementations of Clifford operations and multiply controlled gates using global interactions
• A high-fidelity method for a single-step $N$-bit Toffoli gate in trapped ions
• Comparing Two-Qubit and Multi-Qubit Gates within the Toric Code
• Efficient quantum programming using EASE gates on a trapped-ion quantum computer
• Benchmarking universal quantum gates via channel spectrum
• Evidence that PUBO outperforms QUBO when solving continuous optimization problems with the QAOA
• Signal processing techniques for efficient compilation of controlled rotations in trapped ions
• Constant-depth circuits for Boolean functions and quantum memory devices using multi-qubit gates
• Generation of genuine multipartite entangled states via indistinguishability of identical particles
• Interaction graph engineering in trapped-ion quantum simulators with global drives
• Characterization, synthesis, and optimization of quantum circuits over multiple-control $\text{Z}$-rotation gates: A systematic study
• Digital-Analog Counterdiabatic Quantum Optimization with Trapped Ions
• Multi-Mode Global Driving of Trapped Ions for Quantum Circuit Synthesis
• Implementing a Fast Unbounded Quantum Fanout Gate Using Power-Law Interactions
• Building globally controlled quantum processors with ZZ interactions
• A graph-state based synthesis framework for Clifford isometries
• Fast Quantum Amplitude Encoding of Typical Classical Data
• Improved Strategies for Fermionic Quantum Simulation with Global Interactions