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Fragmented imaginary-time evolution for early-stage quantum signal processors.

Thais L Silva1,2, Márcio M Taddei3,4, Stefano Carrazza5,6

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This summary is machine-generated.

We developed new deterministic quantum imaginary-time evolution (QITE) algorithms. These methods offer improved runtime and milder hardware needs for quantum computation, making them suitable for early fault-tolerant quantum hardware.

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Area of Science:

  • Quantum Computing
  • Computational Physics

Background:

  • Simulating quantum imaginary-time evolution (QITE) is crucial for quantum computation.
  • Existing QITE algorithms face limitations: probabilistic methods have low success rates, and coherent methods require excessive circuit depth and qubits.

Purpose of the Study:

  • To introduce a novel generation of deterministic, high-precision QITE algorithms.
  • To develop QITE methods that are more experimentally feasible for near-term quantum devices.

Main Methods:

  • Partitioning the quantum imaginary-time evolution into a sequence of smaller, probabilistically executed fragments.
  • Implementing a strategy that minimizes wasted circuit depth upon failed runs.

Main Results:

  • The new algorithms achieve deterministic, high-precision QITE.
  • Demonstrated asymptotically better runtime compared to coherent quantum amplitude amplification approaches.
  • Showcased milder hardware requirements than existing probabilistic QITE methods.

Conclusions:

  • The developed QITE algorithms are significantly more amenable to experimental implementation.
  • These findings are particularly relevant for the early stages of fault-tolerant quantum computing.
  • The new approach offers a practical pathway for advancing quantum simulation capabilities.