Qubit Repositioning via Even-Odd Transposition Sort

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Solution Overview

Problem

Current instruction compilation methods for quantum computing are resource-intensive and error-prone when repositioning qubits in a one-dimensional quantum computing environment, particularly due to the costly and complex process of transporting qubits for logic operations.

Innovation Solution

A computer-implemented method using an even-odd transposition sort algorithm to generate an algorithm swap command set, which efficiently repositions qubits by swapping them between adjacent positions, reducing the number of parallel swap commands and minimizing errors through optimized target qubit position assignment.

Engineering Contradictions & Design Principles

VSEngineering Contradiction Analysis

1Reliability

If current instruction compilation methods are used for qubit repositioning, then qubits can be transported to required positions, but the process is resource-intensive and error-prone

Engineering Contradiction:
Improveerror rate in qubit repositioningVSAvoidcomputational resources for qubit repositioning
Core Design Contradiction:
ReliabilityVSUse of energy by moving object

Solution Approach 1:

The patent changes the parameter of swap command generation by implementing an even-odd transposition sort algorithm that optimizes the sequence and number of swap operations. This algorithmic parameter change reduces both the computational resources required and the error rate by minimizing the total number of swap operations needed to achieve the target qubit configuration.

Inventive Principle:
Principle #35Parameter changes

Solution Approach 2:

The patent performs preliminary sorting of qubit positions using even-odd transposition sort before executing the actual qubit repositioning operations. By pre-calculating and organizing the swap command sequence in advance, the system minimizes runtime computational resources and reduces errors by establishing an optimized repositioning plan before qubits are physically moved.

Inventive Principle:
Principle #10Preliminary action

2Productivity

If qubits are repositioned using traditional swap commands, then target positions can be reached, but the number of swap commands is excessive and time-consuming

Engineering Contradiction:
Improvespeed of qubit repositioningVSAvoidtime for swap command execution
Core Design Contradiction:
ProductivityVSLoss of time

Solution Approach 1:

The patent applies parameter changes by implementing an even-odd transposition sort algorithm that fundamentally changes the sequence and efficiency of swap operations. This algorithm reduces the total number of swap commands required compared to traditional methods, directly improving productivity while reducing the time loss associated with sequential qubit repositioning operations.

Inventive Principle:
Principle #35Parameter changes

3Use of energy by moving object

If qubit transport sequences are optimized, then resource efficiency improves, but the compilation complexity increases

Engineering Contradiction:
Improvecomputational resources for qubit transportVSAvoidcompilation algorithm complexity
Core Design Contradiction:
Use of energy by moving objectVSDevice complexity

Solution Approach 1:

The patent segments the qubit repositioning problem into distinct phases using even-odd transposition sort, where even-indexed swaps are processed separately from odd-indexed swaps. This segmentation allows the complex compilation task to be broken down into manageable, systematic steps that reduce computational resource requirements while maintaining organized, tractable algorithmic complexity.

Inventive Principle:
Principle #1Segmentation

Data Source

PatentUS11861456B2Apparatuses, computer-implemented methods, and computer program products for instruction compilation for at least one time slice in a one-dimensional quantum computing environment
Publication Date: 2024.01.02 QUANTINUUM LLC
  • US11861456B2 patent drawing
  • US11861456B2 patent drawing
  • US11861456B2 patent drawing

AI summary

Various embodiments of the present disclosure provide for instruction compilation for at least one time slice in a one-dimensional quantum computing environment. In this regard, embodiments generate an algorithm swap command set by performing an even-odd transposition sort based on at least an initial qubit position set and a target qubit position set for one or more time slices. The algorithm swap command set may correspond to a qubit manipulation instruction set which can be used to generate a hardware instruction set that, upon execution, efficiently repositions any number of qubits to the target positions for gating.