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<p>Quantum computers are expected to become a powerful tool for studying physical quantum systems. Consequently, a number of quantum algorithms to determine the physical properties of such systems have been developed. Although qubit-based quantum computers are naturally suited to the study of spin-1/2 systems, systems containing other degrees of freedom must first be encoded into qubits. Transformations to and from fermionic degrees of freedom have long been an important tool in physics and chemistry, which is now finding another application in the simulation of fermionic systems on quantum computers based on qubits. In this Review, we discuss methods for encoding fermionic degrees of freedom into qubits.</p>

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Simulating fermions with a digital quantum computer

  • 期刊论文

  • 发表日期：

    2026年2月23日

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  • Riley W. Chien,
  • Mitchell Chiew,
  • Brent Harrison,
  • Jason Necaise,
  • Weishi Wang,
  • Maryam Mudassar,
  • Campbell McLauchlan,
  • Thomas M. Henderson,
  • Gustavo E. Scuseria,
  • Sergii Strelchuk,
  • James D. Whitfield

摘要

Quantum computers are expected to become a powerful tool for studying physical quantum systems. Consequently, a number of quantum algorithms to determine the physical properties of such systems have been developed. Although qubit-based quantum computers are naturally suited to the study of spin-1/2 systems, systems containing other degrees of freedom must first be encoded into qubits. Transformations to and from fermionic degrees of freedom have long been an important tool in physics and chemistry, which is now finding another application in the simulation of fermionic systems on quantum computers based on qubits. In this Review, we discuss methods for encoding fermionic degrees of freedom into qubits.