Linear Optical Quantum Computing in a Single Spatial Mode
Peter C. Humphreys, Benjamin J. Metcalf, Justin B. Spring, Merritt, Moore, Xian-Min Jin, Marco Barbieri, W. Steven Kolthammer, Ian A. Walmsley

TL;DR
This paper introduces a novel approach for linear optical quantum computing using time-bin encoding within a single spatial mode, enabling scalable quantum information processing with existing photonic technology.
Contribution
It proposes a new scheme for universal quantum computing in a single spatial mode using time-bin encoding, including methods for single-qubit and heralded CPhase gates.
Findings
First single spatial mode implementation of a two-qubit gate
Achieved an average fidelity of 0.84+-0.07 for the two-qubit gate
Demonstrates potential for increased quantum information capacity in fixed spatial resources
Abstract
We present a scheme for linear optical quantum computing using time-bin encoded qubits in a single spatial mode. We show methods for single-qubit operations and heralded controlled phase (CPhase) gates, providing a sufficient set of operations for universal quantum computing with the Knill-Laflamme-Milburn scheme. Our scheme is suited to available photonic devices and ideally allows arbitrary numbers of qubits to be encoded in the same spatial mode, demonstrating the potential for time-frequency modes to dramatically increase the quantum information capacity of fixed spatial resources. As a test of our scheme, we demonstrate the first entirely single spatial mode implementation of a two-qubit quantum gate and show its operation with an average fidelity of 0.84+-0.07.
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