Quantum Simulation Using Logical Qubit Synthesis
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Solution Overview
Problem
Current quantum error correction techniques require excessive memory resources to simulate quantum states, making it impractical to simulate quantum circuits with 45 or more qubits using classical computers due to the superposition effect of physical qubits.
Innovation Solution
A quantum simulation apparatus and method using logical qubit synthesis, which divides each logical qubit into multiple areas to create a new virtual quantum device, performs logical CNOT operations, and uses a quantum bit replacement method to reduce memory requirements by representing logical qubit information with magic qubits, allowing for efficient simulation of surface code operations.
Engineering Contradictions & Design Principles
Engineering Contradiction Analysis
1Reliability
If quantum error correction techniques are applied to simulate quantum circuits with N physical qubits, then quantum information protection is improved, but memory space requirement increases exponentially to 2N+4 bytes
Solution Approach 1:
The patent divides the quantum simulation into multiple virtual quantum devices, each handling a subset of logical qubits. This segmentation allows the system to manage quantum states in smaller, more manageable memory blocks rather than requiring a single large memory space to represent all N physical qubits simultaneously.
Solution Approach 2:
The patent introduces virtual quantum devices as intermediary structures between the physical qubits and the classical computer memory. These virtual devices act as mediators that organize and manage quantum state representations, enabling efficient memory utilization while maintaining quantum error correction capabilities.
2Adaptability or versatility
If classical computers are used to simulate quantum circuits with 45 or more qubits, then quantum algorithm testing is enabled, but memory resources become insufficient due to superposition effect
Solution Approach 1:
The patent segments the quantum circuit simulation into multiple virtual quantum devices, each managing a portion of the quantum state space. This division enables classical computers to handle simulations with 45 or more qubits by processing them in manageable segments rather than requiring a single large memory allocation.
Solution Approach 2:
The patent transitions from a single-dimensional memory representation to a multi-dimensional virtual device architecture. By organizing quantum states across multiple virtual devices with different memory footprints, the system achieves scalable simulation capability that overcomes the linear memory growth limitation of traditional approaches.
3Volume of stationary object
If logical qubit information is synthesized into virtual quantum devices, then memory costs are decreased, but device complexity increases due to multiple areas and operations
Solution Approach 1:
The patent divides each logical qubit into multiple areas within virtual quantum devices, allowing memory-efficient representation of quantum states. This segmentation reduces the memory footprint by organizing quantum information in a hierarchical structure rather than requiring a monolithic memory allocation.
Solution Approach 2:
The virtual quantum devices are designed as multi-functional units that can perform various operations including logical CNOT gates, state synthesis, and error correction. This universality reduces overall system complexity by using a single versatile architecture rather than requiring specialized components for each function.
Data Source
AI summary
Disclosed herein are a quantum simulation apparatus and method using logical qubit synthesis. The quantum simulation apparatus is configured to generate a new virtual quantum device configured using magic qubits by dividing each logical qubit into multiple areas, extract logical qubit information from a target virtual quantum device that is a target of a logical Controlled NOT (CNOT) operation, synthesize the extracted logical qubit information into the new virtual quantum device, perform a logical CNOT operation in the synthesized virtual quantum device, extract logical qubit information from a result of the logical CNOT operation in the synthesized virtual quantum device, and synthesize the logical qubit information extracted from the result of the logical CNOT operation into the target virtual quantum device.