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A Photonic System for Generating Unconditional Polarization-Entangled Photons Based on Multiple Quantum Interference
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Published on: September 5, 2019

Quantum multiscale entanglement renormalization ansatz channels.

V Giovannetti1, S Montangero, Rosario Fazio

  • 1NEST CNR-INFM and Scuola Normale Superiore, Piazza dei Cavalieri 7, I-56126 Pisa, Italy.

Physical Review Letters
|November 13, 2008
PubMed
Summary
This summary is machine-generated.

This study connects quantum channels to tensor networks for critical systems. We link critical exponents to the convergence of quantum channels using a transfer matrix formalism.

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Area of Science:

  • Quantum Information Theory
  • Condensed Matter Physics
  • Computational Physics

Background:

  • Tensor network representations are crucial for simulating many-body quantum systems.
  • Quantum channels offer a framework to describe these tensor network representations.
  • The multiscale entanglement renormalization ansatz (MERA) is effective for critical systems.

Purpose of the Study:

  • To compute the MERA tensor network for the thermodynamical limit of critical systems.
  • To establish a connection between quantum channels and MERA.
  • To relate critical exponents to the convergence properties of quantum channels.

Main Methods:

  • Utilizing a transfer matrix formalism.
  • Analyzing quantum channels associated with MERA tensor networks.
  • Investigating the convergence rates of these channels.

Main Results:

  • Successfully computed the MERA corresponding to the thermodynamical limit of a critical system.
  • Established a formalism to compute MERA using transfer matrices.
  • Demonstrated a relationship between system critical exponents and channel convergence rates.

Conclusions:

  • Quantum channels provide a valuable perspective for understanding tensor network representations of critical systems.
  • The transfer matrix formalism is effective for analyzing MERA in the thermodynamical limit.
  • Channel convergence rates serve as indicators for critical exponents in these systems.