Classical Preprocessing for Quantum State Preparation
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Solution Overview
Problem
Quantum circuits require significant resources for executing and preparing initial quantum states, which can be time-consuming and resource-intensive, and there is a need to reduce these resources while maintaining functionality and accuracy.
Innovation Solution
A method is introduced to transform initial quantum states into modified states using selected transformations, which are then represented in a more efficient manner, allowing for the generation of a modified quantum circuit that conserves resources by excluding unnecessary sub-circuits and utilizing inverse transformations to restore the initial state or its approximation.
Engineering Contradictions & Design Principles
Engineering Contradiction Analysis
1Reliability
If the original quantum circuit is executed to prepare initial quantum states, then the quantum state is set correctly, but significant quantum resources (time, gates, qubits) are consumed
Solution Approach 1:
The patent applies preliminary action by performing classical preprocessing of the quantum state before it is loaded onto the quantum computer. The initial quantum state is transformed into a modified quantum state using classical computations and transformations, which are then more efficiently represented and loaded into the quantum circuit. This preliminary classical processing reduces the quantum resources needed for state preparation while maintaining accuracy through the inverse transformation that restores the original state.
2Productivity
If classical preprocessing is applied to transform quantum states, then quantum resources are reduced, but computational complexity shifts to classical domain
Solution Approach 1:
The patent uses an intermediary approach by introducing a transformation layer between the classical domain and the quantum domain. The initial quantum state is transformed into a modified quantum state through a transformation matrix, and an inverse transformation is applied to restore the original state. This intermediary transformation layer enables efficient quantum resource utilization while managing classical computation complexity through structured mathematical operations.
3Productivity
If the modified quantum circuit excludes the original sub-circuit, then quantum resources are conserved, but the circuit structure becomes simpler
Solution Approach 1:
The patent applies the extraction principle by removing the original sub-circuit from the quantum circuit structure. The original sub-circuit that prepares the initial quantum state is extracted and replaced with a modified sub-circuit that prepares a modified quantum state. This extraction reduces quantum resource consumption and simplifies the circuit structure, as the modified state requires fewer gates and qubits to prepare.
Data Source
AI summary
A method, apparatus, and product comprising: computing, using a classical computer, a modified quantum state based on an application of a transformation on an initial quantum state, the initial quantum state is associated with one or more qubits, a quantum circuit comprising the one or more qubits, and an original sub-circuit that is configured to set the initial quantum state on the one or more qubits; and generating a modified quantum circuit that comprises a modified sub-circuit, the modified sub-circuit is configured to set the modified quantum state on the one or more qubits of the modified quantum circuit during one or more cycles of the modified quantum circuit, wherein the modified sub-circuit is configured to apply an inverse transformation on the modified quantum state of the one or more qubits at one or more subsequent cycles.