Deterministic Quantum Computation With One Photonic Qubit

Abstract

We show that deterministic quantum computing with one qubit (DQC1) can be experimentally implemented with a spatial light modulator, using the polarization and the transverse spatial degrees of freedom of light. The scheme allows the computation of the trace of a high dimension matrix, being limited by the resolution of the modulator panel, and the technical imperfections. In order to illustrate the method, we compute the normalized trace of unitary matrices, and implement the Deutsch-Jozsa algorithm. The largest matrix that can be manipulated with our set-up is 1080$\times$1920, which is able to represent a system with approximately 21 qubits.

7 pages, 6 figures

References in corpus (13)

• On the Power of One Bit of Quantum Information
• Experimental quantum computing without entanglement
• Spatial correlations in parametric down-conversion
• Entanglement and the Power of One Qubit
• Efficient factorization with a single pure qubit and $logN$ mixed qubits
• Exponential speed-up with a single bit of quantum information: Testing the quantum butterfly effect
• Experimental Implementation of the Deutsch-Jozsa Algorithm for Three-Qubit Functions using Pure Coherent Molecular Superpositions
• Characterization of complex quantum dynamics with a scalable NMR information processor
• NMR Quantum Calculations of the Jones Polynomial
• Double-slit implementation of minimal Deutsch algorithm
• Ancilla-assisted measurement of photonic spatial correlations and entanglement
• Characterization of a spatial light modulator as a polarization quantum channel
• Optical integration of a real-valued function by measurement of a Stokes Parameter

Cited by in corpus (9)

• Experimental implementation of fully controlled dephasing dynamics and synthetic spectral densities
• Non-Markovianity through quantum coherence in an all-optical setup
• Witnessing quantum resource conversion within deterministic quantum computation using one pure superconducting qubit
• Metasurface for programmable quantum algorithms with quantum and classical light
• The Power of One Clean Qubit in Supervised Machine Learning
• Promoting quantum correlations in DQC1 model via post-selection
• Classical realization of the quantum Deutsch algorithm
• DQC1 as an Open Quantum System
• Spin-orbit maximally discordant mixed states