20240054378. APPARATUS AND METHODS FOR PREPARING REPRESENTATIONS OF QUANTUM STATES ON QUANTUM COMPUTERS simplified abstract (Phasecraft Limited)
Contents
APPARATUS AND METHODS FOR PREPARING REPRESENTATIONS OF QUANTUM STATES ON QUANTUM COMPUTERS
Organization Name
Inventor(s)
Jan Lukas Bosse of London (GB)
APPARATUS AND METHODS FOR PREPARING REPRESENTATIONS OF QUANTUM STATES ON QUANTUM COMPUTERS - A simplified explanation of the abstract
This abstract first appeared for US patent application 20240054378 titled 'APPARATUS AND METHODS FOR PREPARING REPRESENTATIONS OF QUANTUM STATES ON QUANTUM COMPUTERS
Simplified Explanation
The present invention involves methods and apparatuses for approximating a ground state or a Gibbs state of a k-local Hamiltonian using a quantum computer system. The procedure includes providing a set of local generalized measurements corresponding to the terms of the k-local Hamiltonian, initializing a set of data qudits into an initial state, performing a local generalized measurement to perturb a subset of the data qudits from the initial state to a perturbed state, accepting or rejecting the perturbation based on a measurement outcome, and repeating the perturbation and accept/reject steps until a stopping condition is met. The result is to drive the encoded Hamiltonian toward or into a ground state or a Gibbs state, which is useful in quantum algorithms related to materials simulation.
- Local generalized measurements are provided for the terms of the k-local Hamiltonian.
- Data qudits are initialized into an initial state.
- Perturbation of data qudits is performed based on measurement outcomes.
- Perturbation and accept/reject steps are repeated until a stopping condition is met.
- The procedure drives the encoded Hamiltonian towards a ground state or a Gibbs state.
Potential Applications
This technology can be applied in quantum algorithms for materials simulation, where approximating ground states or Gibbs states of Hamiltonians is crucial.
Problems Solved
This technology solves the problem of efficiently approximating ground states or Gibbs states of k-local Hamiltonians using a quantum computer system.
Benefits
- Enables efficient approximation of ground states or Gibbs states - Useful in quantum algorithms for materials simulation - Provides a starting point for various quantum algorithms
Original Abstract Submitted
the present invention provides methods and apparatuses for approximating a ground state or a gibbs state of a k-local hamiltonian using a quantum computer system. the procedure begins by providing a set of local generalised measurements corresponding to the terms of the k-local hamiltonian. a set of data qudits is initialised into an initial state and a local generalised measurement is subsequently performed to perturb a subset of the data qudits from an initial state to a perturbed state. the perturbation is accepted or rejected based on a measurement outcome of the local generalised measurement. the perturbation and accept/reject steps are repeated unless or until a stopping condition is met. the result of the procedure is to provably drive the encoded hamiltonian toward or even into a ground state or a gibbs state, a useful starting point in many quantum algorithms, such as those relating to materials simulation.
