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Simulating the Same Physics with Two Distinct Hamiltonians.

Karol Gietka1, Ayaka Usui1, Jianqiao Deng1

  • 1Quantum Systems Unit, Okinawa Institute of Science and Technology Graduate University, Onna, Okinawa 904-0495, Japan.

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Researchers demonstrate simulating complex physics using two distinct Hamiltonians. This framework enables creating maximally entangled states with short-range interactions, advancing quantum simulation techniques.

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Area of Science:

  • Quantum physics
  • Quantum information science

Background:

  • Simulating complex quantum systems is computationally challenging.
  • Distinct Hamiltonians can describe the same physical phenomena within a shared Hilbert space.

Purpose of the Study:

  • To develop a general framework for simulating physics with alternative Hamiltonians.
  • To demonstrate an analog quantum simulation of an infinite-range Hamiltonian using a short-range model.
  • To construct an alternative digital quantum simulator and create entangled states.

Main Methods:

  • Utilizing a short-range Heisenberg XXX model with a staggered field to simulate an infinite-range-interaction one-axis twisting Hamiltonian.
  • Developing a framework for analog and digital quantum simulation.
  • Employing nearest-neighbor interactions for state preparation.

Main Results:

  • Successfully simulated the target Hamiltonian using a different, experimentally feasible model.
  • Established a method for building an alternative digital quantum simulator.
  • Presented a novel technique for generating many-body maximally entangled states.

Conclusions:

  • Two distinct Hamiltonians can simulate the same quantum physics, offering flexibility in experimental design.
  • Short-range interactions are sufficient for simulating complex Hamiltonians and creating highly entangled states.
  • The proposed framework advances the development of practical quantum simulators.