Noise in One-Dimensional Measurement-Based Quantum Computing

Abstract

Measurement-Based Quantum Computing (MBQC) is an alternative to the quantum circuit model, whereby the computation proceeds via measurements on an entangled resource state. Noise processes are a major experimental challenge to the construction of a quantum computer. Here, we investigate how noise processes affecting physical states affect the performed computation by considering MBQC on a one-dimensional cluster state. This allows us to break down the computation in a sequence of building blocks and map physical errors to logical errors. Next, we extend the Matrix Product State construction to mixed states (which is known as Matrix Product Operators) and once again map the effect of physical noise to logical noise acting within the correlation space. This approach allows us to consider more general errors than the conventional Pauli errors, and could be used in order to simulate noisy quantum computation.

Neural network agent playing spin Hamiltonian games on a quantum computer

“…It is important to note that these correlators estimated with real quantum computer are subjected by decoherence and gate imperfection errors. The simulations of these errors is an active field of research [30][31][32]. To take these effects into account we used a noise generator as implemented in Qiskit Aer module [33].…”

“…Schematic representation of the neural network we use to define the action-value for each gate.gate imperfection errors. The simulations of these errors is an active field of research[30][31][32]. To take these effects into account we used a noise generator as implemented in Qiskit Aer module[33].…”