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Approximating Many-Body Quantum States with Quantum Circuits and Measurements.

Lorenzo Piroli1, Georgios Styliaris2,3, J Ignacio Cirac2,3

  • 1Dipartimento di Fisica e Astronomia, <a href="https://ror.org/01111rn36">Università di Bologna</a> and <a href="https://ror.org/04j0x0h93">INFN Sezione di Bologna</a>, via Irnerio 46, I-40126 Bologna, Italy.

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We present new quantum circuit protocols for preparing many-body quantum states, significantly reducing resource requirements by relaxing exact preparation. This advance enables efficient creation of W and Dicke states, independent of system size.

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Area of Science:

  • Quantum Information Science
  • Quantum Computing
  • Many-Body Physics

Background:

  • Preparing complex many-body quantum states is crucial for quantum information processing.
  • Existing methods often require significant computational resources, scaling with system size.

Purpose of the Study:

  • To develop resource-efficient protocols for preparing many-body quantum states using quantum circuits.
  • To investigate methods for preparing specific states like W and Dicke states with reduced overhead.

Main Methods:

  • Utilizing quantum circuits combined with local operations and classical communication (LOCC).
  • Relaxing the constraint of exact state preparation to optimize resource usage.
  • Implementing nonlocal, non-Clifford unitary operators efficiently.

Main Results:

  • Developed protocols where W and Dicke state preparation requires circuit depth and ancilla count independent of system size.
  • Introduced an efficient scheme for implementing specific nonlocal, non-Clifford unitary operators.
  • Demonstrated potential for preparing eigenstates of spin models.

Conclusions:

  • Resource-efficient preparation of many-body quantum states is achievable by relaxing exactness.
  • The proposed methods offer significant advantages for preparing important quantum states and implementing complex quantum operations.
  • These techniques have broad applicability in quantum simulation and computation.