Qudit Quantum Chemistry with Orbital Angular Momentum States
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Solution Overview
Problem
Conventional quantum chemistry calculations face challenges with high-dimensional Hilbert spaces requiring numerous qubits, leading to increased quantum gates that decrease fidelity, and there is a limitation on dimensionality expansion.
Innovation Solution
A system using a qudit-based approach with a quantum processing unit and classical processing unit to update diffraction images and photon states, allowing for orbital angular momentum states on a single photon, reducing the need for multiple qubit-based gate calculations and ensuring dimensional extensibility.
Engineering Contradictions & Design Principles
Engineering Contradiction Analysis
1Measurement precision
If the number of qubits is increased to achieve higher dimensional Hilbert space, then the precision of quantum chemistry calculation is improved, but the number of quantum gates increases leading to decreased fidelity
Solution Approach 1:
The patent transitions from qubit-based (2-dimensional) to qudit-based (d-dimensional) quantum states, where a single qudit can represent higher dimensional Hilbert space. This dimensional change allows achieving the same computational precision with fewer quantum units, thereby reducing the total number of quantum gates required and maintaining higher fidelity.
Solution Approach 2:
The patent employs a universal qudit gate that can perform multiple quantum operations within a single gate framework. This multi-functional gate reduces the total gate count compared to traditional qubit-based universal gate sets, thereby improving fidelity while maintaining calculation precision.
2Measurement precision
If the dimensionality is expanded to improve calculation precision, then the precision of quantum chemistry calculation is improved, but the device complexity increases
Solution Approach 1:
The patent uses qudit states with dimension d > 2 to encode quantum information, allowing higher dimensional Hilbert space representation within a single quantum unit. This approach achieves enhanced precision without proportionally increasing device complexity, as the dimensional expansion is contained within individual qudit states rather than requiring additional quantum units.
Solution Approach 2:
The patent combines multiple quantum operations and state transformations into integrated optical components and qudit gate sequences. By merging operations that would traditionally require separate components into unified qudit-based processes, the system achieves high-dimensional calculation precision while managing device complexity through functional integration.
3Adaptability or versatility
If the number of quantum gates is increased to handle higher dimensional spaces, then the capability to solve quantum chemistry problems is improved, but the loss of time increases
Solution Approach 1:
The patent leverages the higher-dimensional state space of qudits to encode and process quantum chemistry information more efficiently. This dimensional advantage allows representing complex molecular states and transformations with fewer quantum operations, reducing calculation time while maintaining the capability to solve sophisticated quantum chemistry problems.
Solution Approach 2:
The patent optimizes qudit gate parameters and optical transformation parameters to minimize the number of sequential operations required. By carefully selecting and tuning parameters such as orbital angular momentum states and diffraction image parameters, the system achieves efficient quantum chemistry calculations with reduced gate sequences and shorter execution times.
Applied Scientific Principles
This section explains which scientific principles are used to turn an abstract innovation direction into a practical engineering solution.
Function Achieved in This Case
This approach optimizes parameter updates within a tolerance, reducing resource usage and achieving efficient quantum chemistry calculations with high-dimensional spaces, achieving chemical accuracy without the need for error mitigation techniques.
Implementation Method 1
a first updating unit, including one or more optical components, configured to update a diffraction image to a t-th diffraction image
Implementation Method 2
when a photon is given with an orbital angular momentum state, having a qudit state
Data Source
AI summary
Disclosed is a system for calculating quantum chemistry based on a qudit according to one embodiment, the system comprises the quantum processing unit configured to including a first updating unit configured to update a diffraction image to a t-th diffraction image on the basis of a t-th parameter obtained from a classical processing unit; and a second updating unit configured to allow a photon in a 0-th state input to the quantum processing unit to enter the t-th diffraction image update to a photon in a t-th state, and classical processing unit configured to calculate expectation values of the first to t-th Hamiltonians corresponding to photons in first to t-th state, and determine the t-th parameter on the basis of an expectation value of the Hamiltonian of a (t−1)-th parameter.