Thermal Equilibrium as an Initial State for Quantum Computation by NMR

Abstract

We present a method of using a nuclear magnetic resonance computer to solve the Deutsch-Jozsa problem in which: (1) the number of molecules in the NMR sample is irrelevant to the number of qubits available to an NMR quantum computer, and (2) the initial state is chosen to be the state of thermal equilibrium, thereby avoiding the preparation of pseudopure states and the resulting exponential loss of signal as the number of qubits increases. The algorithm is described along with its experimental implementation using four active qubits. As expected, measured spectra demonstrate a clear distinction between constant and balanced functions.

including 4 figures

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• On the quantumness of correlations in nuclear magnetic resonance
• Quantum and classical correlations in high temperature dynamics of two coupled large spins
• Witnessing nonclassical correlations via a single-shot experiment on an ensemble of spins using NMR
• Quantum energy current and quantum coherence of a spin chain in a non-Markovian environment
• Discrimination of unitary transformations in the Deutsch-Jozsa algorithm
• Wigner State and Process Tomography on Near-Term Quantum Devices
• Generation and Detection of Quantum Correlations and Entanglement on a Spin-Based Quantum Information Processor