Quantum Phase Parameter Determination via Hamiltonian Mapping
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Solution Overview
Problem
Existing methods for determining the quantum phase parameter of solid-state materials face computational challenges when using classical computers, particularly in solving complex quantum many-body phenomena.
Innovation Solution
A method utilizing a quantum computer to estimate a Hamiltonian operator for a solid-state material, mapping it onto a combination of Hamiltonian operators describing longitudinal spin interactions and transverse fields, and computing the quantum phase parameter based on these estimates.
Engineering Contradictions & Design Principles
Engineering Contradiction Analysis
1Reliability
If classical computers are used to solve quantum many-body phenomena, then computational methods are available, but computation complexity becomes intractable
Solution Approach 1:
The patent replaces the classical computational system with a quantum computational system. Specifically, it uses a quantum processor to perform quantum phase estimation and determine quantum phase parameters, substituting the mechanical/classical computational approach with a quantum mechanical approach that naturally handles quantum many-body phenomena.
Solution Approach 2:
The patent changes the fundamental parameter of computation from classical bits to quantum bits (qubits), enabling the system to handle quantum phase parameters directly. By using quantum states and quantum operations, the system can represent and manipulate quantum many-body wavefunctions efficiently, avoiding the exponential complexity of classical methods.
2Productivity
If quantum computer is used to compute quantum phase parameter, then computational power increases, but device complexity increases
Solution Approach 1:
The patent segments the computational task into distinct quantum operations: preparing the quantum state representing the many-body system, applying quantum phase estimation algorithms, measuring the quantum phase parameters, and processing the results. This segmentation allows each component to be optimized independently and facilitates the integration of quantum and classical computational resources.
Solution Approach 2:
The patent uses an intermediary approach by employing a hybrid quantum-classical system. The quantum processor handles the quantum phase estimation and parameter determination, while a classical computer performs the initial Hamiltonian setup, controls the quantum operations, and processes the final results. This intermediary architecture balances quantum computational power with classical control and analysis capabilities.
Data Source
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AI summary
A method for determining a quantum phase parameter characterizing a property of a quantum phase of a solid-state material sample, the method comprising: obtaining an estimate of a Hamiltonian operator H of a lattice model of the solid-state material sample; mapping the estimate of the Hamiltonian operator H onto a combination of a plurality of Hamiltonian operators comprising a Hamiltonian operator describing a longitudinal spin interaction and a transverse field; computing, using a quantum processor, an estimate of a property of the Hamiltonian operator describing a longitudinal spin interaction and a transverse field; computing an estimate of the quantum phase parameter as a property of the Hamiltonian operator H, based on the estimate of the property of the Hamiltonian operator describing a longitudinal spin interaction and a transverse field.