Transforming pure and mixed states using an NMR quantum homogeniser

• URL: http://arxiv.org/abs/2009.02820v3
• Date: Wed, 27 Jan 2021 16:31:09 GMT
• Title: Transforming pure and mixed states using an NMR quantum homogeniser
• Authors: Maria Violaris (1), Gaurav Bhole (1), Jonathan A. Jones (1), Vlatko Vedral (1 and 2), and Chiara Marletto (1) ((1) Clarendon Laboratory, University of Oxford, Oxford, United Kingdom (2) Centre for Quantum Technologies, National University of Singapore, Singapore)
• Abstract summary: We present an implementation of a finite quantum homogeniser using nuclear magnetic resonance (NMR) We compare the homogenisation of a mixed state to a pure state, and the reverse process. We analyse the implications of this symmetry by interpreting the homogeniser as a physical implementation of pure state preparation and information scrambling.
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• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: The universal quantum homogeniser can transform a qubit from any state to any other state with arbitrary accuracy, using only unitary transformations to perform this task. Here we present an implementation of a finite quantum homogeniser using nuclear magnetic resonance (NMR), with a four-qubit system. We compare the homogenisation of a mixed state to a pure state, and the reverse process. After accounting for the effects of decoherence in the system, we find the experimental results to be consistent with the theoretical symmetry in how the qubit states evolve in the two cases. We analyse the implications of this symmetry by interpreting the homogeniser as a physical implementation of pure state preparation and information scrambling.

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