Adiabatic Hamiltonian Control for Noise-Resilient Logical Qubits
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Solution Overview
Problem
Quantum computers face challenges in performing operations resilient to noise on control signals, individual physical qubits, and coupling strengths, which affects the reliability and accuracy of quantum computations.
Innovation Solution
A method and system that utilize an array of physical qubits with tunable coupling mechanisms and local fields to create a logical qubit, allowing for adiabatic interpolation of Hamiltonians to suppress noise, thereby protecting quantum information from errors and maintaining a wide margin for control signals.
Engineering Contradictions & Design Principles
Engineering Contradiction Analysis
1Reliability
If standard quantum operations are performed on physical qubits, then quantum computations can be executed, but noise on control signals, individual physical qubits, and coupling strengths causes errors and reduces reliability
Solution Approach 1:
The patent divides a logical qubit into multiple physical qubits (e.g., three physical qubits per logical qubit) and segments the quantum operation into adiabatic interpolation steps. This segmentation allows noise on individual physical qubits to be averaged out, while the adiabatic process suppresses transitions to excited states, thereby reducing noise-induced errors and improving quantum operation reliability
Solution Approach 2:
The patent changes the Hamiltonian parameters adiabatically from an initial Hamiltonian to a final Hamiltonian throughout the quantum operation. By slowly varying the coupling strengths and energy levels as parameters, the system remains in its ground state, suppressing noise-induced transitions to excited states and reducing errors while maintaining computational functionality
2Reliability
If error correction is applied to suppress noise-induced errors, then reliability improves, but system complexity and overhead increase
Solution Approach 1:
The patent applies preliminary action by encoding quantum information into logical qubits composed of multiple physical qubits before the quantum operation begins. The adiabatic interpolation process is designed in advance to maintain the ground state throughout the operation, preventing errors before they occur rather than requiring complex error correction mechanisms after errors happen, thus reducing overhead
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
The approach effectively reduces noise-induced errors, making quantum operations more robust and enabling error rates below correction thresholds with reduced error correction overhead, while being easier to implement and maintain.
Implementation Method 1
An adiabatic interpolation of the Hamiltonian of the system from the first Hamiltonian to a second Hamiltonian is performed
Data Source
AI summary
Systems and methods are provided for performing noise-resilient quantum operations. A set of control signals are applied to a system to provide a first Hamiltonian for the system. The system includes an array of physical qubits and a plurality of coupling mechanisms configured such that each pair of neighboring physical qubits within the array is coupled by an associated coupling mechanism. The first Hamiltonian represents, for each coupling mechanism, a coupling strength between zero and a maximum value. An adiabatic interpolation of the Hamiltonian of the system from the first Hamiltonian to a second Hamiltonian is performed. The second Hamiltonian represents, for at least one of the plurality of coupling mechanisms, a coupling strength different from that of the first Hamiltonian.