Exact and approximate continuous-variable gate decompositions
arXiv:2010.07453 · doi:10.22331/q-2021-02-08-394
Abstract
We gather and examine in detail gate decomposition techniques for continuous-variable quantum computers and also introduce some new techniques which expand on these methods. Both exact and approximate decomposition methods are studied and gate counts are compared for some common operations. While each having distinct advantages, we find that exact decompositions have lower gate counts whereas approximate techniques can cover decompositions for all continuous-variable operations but require significant circuit depth for a modest precision.
References in corpus (40)
- Elementary gates for quantum computation
- Gaussian Quantum Information
- Encoding a qubit in an oscillator
- Universal Quantum Computation with ideal Clifford gates and noisy ancillas
- Quantum computation over continuous variables
- Two-Bit Gates are Universal for Quantum Computation
- Universal Quantum Computation with Continuous-Variable Cluster States
- Quantum computation with optical coherent states
- Toward the first quantum simulation with quantum speedup
- A meet-in-the-middle algorithm for fast synthesis of depth-optimal quantum circuits
- Squeezing as an irreducible resource
- The Real Symplectic Groups in Quantum Mechanics and Optics
- Quantum Computing with Continuous-Variable Clusters
- Strawberry Fields: A Software Platform for Photonic Quantum Computing
- Implementation of the Quantum Fourier Transform
- Finding Exponential Product Formulas of Higher Orders
- Higher Order Decompositions of Ordered Operator Exponentials
- Efficient synthesis of universal Repeat-Until-Success circuits
- Asymptotically optimal approximation of single qubit unitaries by Clifford and T circuits using a constant number of ancillary qubits
- Asymptotically Optimal Topological Quantum Compiling
- Quantum machine learning over infinite dimensions
- Dipolar Molecules in Optical Lattices
- Quantum algorithm for non-homogeneous linear partial differential equations
- Repeat-until-success cubic phase gate for universal continuous-variable quantum computation
- Universal Gate Set for Continuous-Variable Quantum Computation with Microwave Circuits
- Generation and characterization of resource state for nonlinear cubic phase gate
- Simple factorization of unitary transformations
- How to decompose arbitrary continuous-variable quantum operations
- Production of photonic universal quantum gates enhanced by machine learning
- Engineering a Kerr-based Deterministic Cubic Phase Gate via Gaussian Operations
- Modular Bosonic Subsystem Codes
- General implementation of arbitrary nonlinear quadrature phase gates
- ON states as resource units for universal quantum computation with photonic architectures
- Exact gate decompositions for photonic quantum computing
- Coherent State Topological Cluster State Production
- Continuous-variable gate decomposition for the Bose-Hubbard model
- A measurement-induced optical Kerr interaction
- Hybrid spatiotemporal architectures for universal linear optics
- Unitary Gate Synthesis for Continuous Variable Systems
- Quantum Fourier transform, Heisenberg groups and quasiprobability distributions
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- Building a large-scale quantum computer with continuous-variable optical technologies
- Fast simulation of bosonic qubits via Gaussian functions in phase space
- Matrix decompositions in Quantum Optics: Takagi/Autonne, Bloch-Messiah/Euler, Iwasawa, and Williamson
- Performance of teleportation-based error correction circuits for bosonic codes with noisy measurements
- Streamlined quantum computing with macronode cluster states
- Riemannian optimization of photonic quantum circuits in phase and Fock space
- Quantum computation of SU(2) lattice gauge theory with continuous variables
- Perfect pulsed inline twin-beam squeezers
- Near-optimal decomposition of unitary matrices using phase masks and the discrete Fourier transform
- Nonlinear Phase Gates as Airy Transforms of the Wigner Function
- Flow conditions for continuous variable measurement-based quantum computing
- What's my phase again? Computing the vacuum-to-vacuum amplitude of quadratic bosonic evolution
- Parallel Driving for Fast Quantum Computing Under Speed Limits
- Photonic Simulation of Localization Phenomena Using Boson Sampling
- Near-optimal coherent state discrimination via continuously labelled non-Gaussian measurements
- Teleportation-based squeezer for bosonic cluster states