Quantum Annealing Control for Stable Network State Search
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Solution Overview
Problem
Modelling the formation and evolution of complex networks is computationally intractable for classical computers due to the exponential growth of possible configurations, making it difficult to assess robustness and stability.
Innovation Solution
A method using a quantum computer with a quantum annealer to determine adjacent graphs and apply a cost function based on Hamiltonian operators to find states of interest by controlling qubits and entanglement, optimizing transitions using a QUBO model.
Engineering Contradictions & Design Principles
Engineering Contradiction Analysis
1Reliability
If a classical computer is used to model network configurations, then the analysis can be performed with conventional methods, but the computational resources grow exponentially with the size of the network making it intractable
Solution Approach 1:
The patent replaces the classical mechanical computing system with a quantum computing system. The quantum computer uses quantum bits (qubits) and quantum mechanical principles to represent and analyze network configurations, substituting the classical binary system with a quantum system that can handle exponential complexity more efficiently.
Solution Approach 2:
The patent changes the fundamental parameters of computation by using quantum states instead of classical bits. The cost function parameters are mapped to quantum Hamiltonian parameters, transforming the problem from a classical optimization task to a quantum energy minimization problem, which can be solved more efficiently for large networks.
2Adaptability or versatility
If the number of nodes and links in the network increases, then the network becomes more complex and realistic, but the number of possible configurations grows exponentially making analysis intractable
Solution Approach 1:
The patent transitions from classical computational dimensions to quantum computational dimensions. By using qubits that can exist in superposition states, the system adds a quantum dimension to the computation, allowing it to represent and process exponential numbers of configurations simultaneously rather than sequentially through classical states.
Solution Approach 2:
The quantum computer serves multiple functions: it represents network configurations, evaluates cost functions, finds optimal states, and analyzes network properties all within a single unified quantum system. This multi-functionality allows the same quantum hardware to handle increasingly complex networks without proportionally increasing computational resources.
3Ease of operation
If Markov Chain Monte Carlo process is used to find stable configurations, then a systematic approach is provided, but the method remains computationally intractable for large networks
Solution Approach 1:
The patent replaces the Markov Chain Monte Carlo classical probabilistic method with a quantum annealing approach. Instead of using classical random walks and Metropolis-Hastings acceptance criteria, the system uses quantum tunneling and energy minimization to systematically find stable configurations, maintaining the systematic approach while dramatically reducing computational resource requirements.
Data Source
AI summary
There is presented a method of driving a quantum computer to find one or more states of interest of a network. In one example, the network comprising a plurality of players. The method determines a set of adjacent graphs by determining, for each graph, whether each of the other graphs are adjacent. The method defines a cost function associated with a Hamiltonian operator of the quantum computer; the cost function comprising a set of parameters determined by analysing the utilities of vertices in the set of adjacent graphs. The method further comprises outputting a plurality of control signals for driving the quantum computer wherein the control signals are associated with the set of parameters and comprise: one or more control signals for controlling the states of qubits in the quantum computer; and, one or more control signals for controlling the entanglement of qubits in the quantum computer.