Quantum Rotation Control Using Resource States and Post-Selection
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Solution Overview
Problem
Existing quantum computing systems require a large number of physical qubits for error correction, particularly for implementing arbitrary rotations, leading to inefficiencies in resource state generation and increased failure rates due to repeated gate operations.
Innovation Solution
A method for generating a resource state using a quantum computation control program that divides the physical qubits into a post-selection area and an error correction area, applying a transversal rotation gate to specific qubit groups and implementing a gate teleportation circuit to efficiently generate a resource state, reducing the likelihood of errors and the need for repeated generation.
Engineering Contradictions & Design Principles
Engineering Contradiction Analysis
1Adaptability or versatility
If arbitrary rotation gates are implemented using the STAR architecture with resource states, then quantum computation functionality is improved, but the number of physical qubits required increases significantly
Solution Approach 1:
The patent segments the qubit system into distinct functional areas: a post-selection area containing physical qubits used for generating resource states through transversal rotation gates, and an error correction area containing logical qubits protected by quantum error correction codes. This segmentation allows arbitrary rotation functionality to be implemented in the post-selection area without requiring all logical qubits to be scaled up proportionally, thus reducing the overall physical qubit requirement while maintaining computational versatility.
Solution Approach 2:
The patent implements preliminary action by preparing resource states in advance through transversal rotation gate operations on physical qubits in the post-selection area. These pre-prepared resource states are then used to enable arbitrary rotation gates on logical qubits through gate teleportation, avoiding the need to perform complex error-corrected rotation operations in real-time and reducing the computational overhead and qubit requirements.
2Reliability
If error correction is applied to all qubits, then reliability is improved, but the complexity of the system increases
Solution Approach 1:
The patent applies local quality by providing error correction only to the logical qubits in the error correction area, while the physical qubits in the post-selection area operate without full error correction. This localized approach to error correction maintains reliability for the computational logical qubits while reducing system complexity by eliminating the need for error correction infrastructure across the entire qubit system.
Solution Approach 2:
The system is segmented into a post-selection area where physical qubits are used for resource state generation without error correction, and an error correction area where logical qubits receive error correction protection. This segmentation allows the system to optimize reliability where needed while minimizing complexity elsewhere, avoiding the overhead of applying error correction to all qubits uniformly.
3Productivity
If transversal rotation gates are applied to multiple physical qubits, then resource state generation efficiency is improved, but the likelihood of errors increases
Solution Approach 1:
The patent segments the qubit system into a post-selection area where transversal rotation gates are applied to multiple physical qubits for efficient resource state generation, and an error correction area that provides error protection. By isolating the high-risk transversal operations to a dedicated post-selection area, the system can achieve high generation efficiency while containing error propagation through the spatial separation and selective error correction application.
Solution Approach 2:
The patent introduces an intermediary mechanism of post-selection, where resource states generated by transversal rotation gates are validated before being used in the error correction area. This post-selection process acts as an intermediary filter that removes erroneous resource states, allowing efficient transversal operations in the post-selection area while protecting the overall system reliability by preventing error propagation to the error correction area.
Data Source
AI summary
A computer determines, based on a logical rotation angle for rotating the state of a logical qubit around a predetermined axis, a physical rotation angle around the predetermined axis to be applied to d first physical qubits among a plurality of physical qubits constituting the logical qubit. The computer instructs a quantum computer including the plurality of physical qubits to execute a rotation gate operation of rotating the state of each of the d first physical qubits around the predetermined axis by the physical rotation angle. The computer specifies application of an m-qubit rotation gate to a physical qubit group in which m first physical qubits among the d first physical qubits are collected. The m-qubit rotation gate is to rotate the states of the m first physical qubits by one rotation gate operation.