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Quantum entangled states can be used to create ensembles of unitary transformations, mimicking random quantum circuits. This research demonstrates a method to "derandomize" quantum computations using graph states, achieving results similar to quantum random number generators.

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Area of Science:

  • Quantum Information Science
  • Quantum Computation
  • Quantum Entanglement

Background:

  • Entangled multipartite states are crucial resources for universal quantum computation.
  • These states can also generate ensembles of unitary transformations, a subject typically explored within random quantum circuits.

Purpose of the Study:

  • To demonstrate how entangled multipartite states can be used to derandomize quantum circuit results.
  • To explore the creation of pseudorandom ensembles of unitary transformations using quantum mechanical sampling.

Main Methods:

  • Utilizing graph state techniques for quantum mechanical sampling.
  • Investigating simple examples to generate new ensembles of unitary transformations.

Main Results:

  • Entangled states can sample ensembles of unitary transformations, analogous to quantum random number generators.
  • New ensembles were found that match statistical moments of uniformly random unitaries up to order t, without adaptive feedforward.
  • These ensembles function as t-designs, often indistinguishable from truly random ensembles.

Conclusions:

  • Graph state techniques offer a method to derandomize quantum circuit results by sampling ensembles of unitary transformations.
  • The study introduces new t-designs that provide pseudorandomness for quantum applications.
  • This work bridges the gap between entangled states as computational resources and their application in generating pseudorandomness.