Finding the optimal cluster state configuration. Minimization of one-way quantum computation errors

Cluster-state Quantum Computation

This article is a short introduction to and review of the cluster-state model of quantum computation, in which coherent quantum information processing is accomplished via a sequence of single-qubit measurements applied to a fixed quantum state known as a cluster state. We also discuss a few novel properties of the model, including a proof that the cluster state cannot occur as the exact ground ...

The One Way to Quantum Computation

One-way Quantum Computation A tutorial introduction

The circuit model of quantum computation [1, 2, 3] has been a powerful tool for the development of quantum computation, acting as both a framework for theoretical investigations and as a guide for experiment. In the circuit model (also called the network model), unitary operations are represented by a network of elementary quantum gates, for example the CNOT gate and single-qubit operations. Ma...

Quantum Linear Network Coding as One-way Quantum Computation

Network coding [1] is a technique to maximize communication rates within a network, in communication protocols for simultaneous multi-party transmission of information. Linear network codes are examples of such protocols in which the local computations performed at the nodes in the network are limited to linear transformations of their input data (represented as elements of a ring, such as the ...

Geometry-Based Optimization of One-Way Quantum Computation Measurement Patterns

In one-way quantum computation (1WQC) model, an initial highly entangled state called a graph state is used to perform universal quantum computations by a sequence of adaptive single-qubit measurements and post-measurement Pauli-X and Pauli-Z corrections. The needed computations are organized as measurement patterns, or simply patterns, in the 1WQC model. The entanglement operations in a patter...