Exploiting Quantum Teleportation in Quantum Circuit Mapping

TL;DR

This paper explores using quantum teleportation to improve quantum circuit mapping by reducing the need for additional gates, demonstrated through a case study on IBM Q Tokyo architecture, showing promising improvements.

Contribution

It introduces quantum teleportation as a novel method to enhance quantum circuit mapping, potentially reducing gate overhead compared to traditional swapping methods.

Findings

Quantum teleportation can move qubit states over long distances with constant overhead.

Case study on IBM Q Tokyo shows promising improvements in circuit mapping.

Teleportation becomes more effective with larger quantum architectures.

Abstract

Quantum computers are constantly growing in their number of qubits, but continue to suffer from restrictions such as the limited pairs of qubits that may interact with each other. Thus far, this problem is addressed by mapping and moving qubits to suitable positions for the interaction (known as quantum circuit mapping). However, this movement requires additional gates to be incorporated into the circuit, whose number should be kept as small as possible since each gate increases the likelihood of errors and decoherence. State-of-the-art mapping methods utilize swapping and bridging to move the qubits along the static paths of the coupling map---solving this problem without exploiting all means the quantum domain has to offer. In this paper, we propose to additionally exploit quantum teleportation as a possible complementary method. Quantum teleportation conceptually allows to move the state of a qubit over arbitrary long distances with constant overhead---providing the potential of determining cheaper mappings. The potential is demonstrated by a case study on the IBM Q Tokyo architecture which already shows promising improvements. With the emergence of larger quantum computing architectures, quantum teleportation will become more effective in generating cheaper mappings.