Transforming pure and mixed states using an NMR quantum homogeniser

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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Cited by in corpus (5)

• Controlling NMR spin systems for quantum computation
• Emergence of Constructor-based Irreversibility in Quantum Systems: Theory and Experiment
• The irreversibility cost of purifying Szilard's engine: Is it possible to perform erasure using the quantum homogenizer?
• Temporal witnesses of non-classicality in a macroscopic biological system
• Extending Qubit Coherence Time via Hybrid Dynamical Decoupling