View source for 20240054378. APPARATUS AND METHODS FOR PREPARING REPRESENTATIONS OF QUANTUM STATES ON QUANTUM COMPUTERS simplified abstract (Phasecraft Limited)

=APPARATUS AND METHODS FOR PREPARING REPRESENTATIONS OF QUANTUM STATES ON QUANTUM COMPUTERS=


==Organization Name==

[[:Category:Phasecraft Limited|Phasecraft Limited]]


[[Category:Phasecraft Limited]]

==Inventor(s)==

[[:Category:Toby Cubitt of London (GB)|Toby Cubitt of London (GB)]][[Category:Toby Cubitt of London (GB)]]

[[:Category:Daniel Zhang of London (GB)|Daniel Zhang of London (GB)]][[Category:Daniel Zhang of London (GB)]]

[[:Category:Jan Lukas Bosse of London (GB)|Jan Lukas Bosse of London (GB)]][[Category: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.



[[Category:G06N10/20]]