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Entanglement bounds on the performance of quantum computing architectures.

Zachary Eldredge1,2, Leo Zhou3, Aniruddha Bapat1,2

  • 1Joint Center for Quantum Information and Computer Science, NIST/University of Maryland, College Park, Maryland 20742, USA.

Physical Review Research
|June 14, 2021
PubMed
Summary
This summary is machine-generated.

We introduce the isoperimetric number as a metric to evaluate quantum computer architectures. This metric provides a lower bound for creating entangled states, showing a hierarchical architecture is promising.

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Area of Science:

  • Quantum computing
  • Quantum information science
  • Computer architecture

Background:

  • Designing quantum computers involves selecting qubit connectivity architectures.
  • Evaluating the performance of quantum architecture connectivity graphs is challenging.
  • Entangled states are crucial for quantum computation.

Purpose of the Study:

  • To introduce a new metric, the isoperimetric number, for evaluating quantum computer architectures.
  • To establish a lower bound on the time required for creating highly entangled states using this metric.
  • To assess the viability of a hierarchical qubit architecture compared to traditional ones.

Main Methods:

  • Defining a resource metric based on two-qubit unitary operations.
  • Allowing for rapid measurements and classical feedback in the resource model.
  • Applying the isoperimetric number to analyze qubit connectivity graphs.
  • Developing a constructive protocol to saturate the derived lower bound.

Main Results:

  • The isoperimetric number provides a lower bound on the time to create highly entangled states.
  • A hierarchical qubit architecture is identified as a promising alternative to grid architectures.
  • The established lower bound can be achieved with a constructive protocol, up to logarithmic factors.

Conclusions:

  • The isoperimetric number is a valuable tool for assessing quantum computer architectures.
  • Hierarchical architectures offer potential advantages for quantum computation.
  • The developed protocol demonstrates the practical achievability of entanglement creation bounds.