Robust and parsimonious realisations of unitaries in the one-way model
arXiv:quant-ph/0411071 · doi:10.1103/PhysRevA.72.064301
Abstract
We present a new set of generators for unitary maps over \otimes^n(C^2) which differs from the traditional rotation-based generating set in that it uses a single-parameter family of 1-qubit unitaries J(a), together with a single 2-qubit unitary controlled-Z. Each generator is implementable in the one-way model using only two qubits, and this leads to both parsimonious and robust implementations of general unitaries. As an illustration, we give an implementation of the controlled-U family which uses only 14 qubits, and has a 2-colourable underlying entanglement graph (known to yield robust entangled states).
8 pages, 2 figures, keywords: unitary transformations, measurement-based quantum computing
References in corpus (8)
- Experimental One-Way Quantum Computing
- Multi-party entanglement in graph states
- Resource-efficient linear optical quantum computation
- Efficient high-fidelity quantum computation using matter qubits and linear optics
- Fault-tolerant quantum computation with cluster states
- Unified derivations of measurement-based schemes for quantum computation
- Efficient generation of graph states for quantum computation
- Computation by measurements: a unifying picture
Cited by in corpus (20)
- Unconditionally verifiable blind computation
- Determinism in the one-way model
- Parallelizing Quantum Circuits
- Ancilla-Driven Universal Quantum Computation
- Finding flows in the one-way measurement model
- Closed timelike curves in measurement-based quantum computation
- The Measurement Calculus
- Complete Flow-Preserving Rewrite Rules for MBQC Patterns with Pauli Measurements
- Hardware requirements for trapped-ion based verifiable blind quantum computing with a measurement-only client
- Flow-preserving ZX-calculus Rewrite Rules for Optimisation and Obfuscation
- A minimum control ancilla driven quantum computation scheme with repeat-until-success style gate generation
- Quantum linear network coding as one-way quantum computation
- A Survey of Quantum Programming Languages: History, Methods, and Tools
- Twisted graph states for ancilla-driven quantum computation
- Measurement-based quantum machine learning
- Entangling unitary gates on distant qubits with ancilla feedback
- Invested and Potential Magic Resources in Measurement-Based Quantum Computation
- Unitary-circuit semantics for measurement-based computations
- Simple Sets of Measurements for Universal Quantum Computation and Graph State Preparation
- Quadratic Form Expansions for Unitaries