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Abstract
Entangled multipartite states are resources for universal quantum computation, but they can also give rise to ensembles of unitary transformations, a topic usually studied in the context of random quantum circuits. Using several graph state techniques, we show that these resources can “derandomize” circuit results by sampling the same kinds of ensembles quantum mechanically, analogously to a quantum random number generator. Furthermore, we find simple examples that give rise to new ensembles whose statistical moments exactly match those of the uniformly random distribution over all unitaries up to order t, while foregoing adaptive feedforward entirely. Such ensembles—known as t designs—often cannot be distinguished from the “truly” random ensemble, and so they find use in many applications that require this implied notion of pseudorandomness.
Original language | English |
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Article number | 200501 |
Number of pages | 5 |
Journal | Physical Review Letters |
Volume | 116 |
Issue number | 20 |
DOIs | |
Publication status | Published - 19 May 2016 |
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Dive into the research topics of 'Derandomizing Quantum Circuits with Measurement-Based Unitary Designs'. Together they form a unique fingerprint.Projects
- 1 Finished
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Randomness Resources for Quantum Technologies
Turner, P. S. (Principal Investigator)
1/01/16 → 31/12/18
Project: Research