40 lines
2.4 KiB
XML
40 lines
2.4 KiB
XML
= Introduction
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The goal of this project is to make a program that uses a Hardware discriptor
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-like the one exported by qiskit- together with a target expressibility,
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target entanglement, and a minimal Fidelity to produce a
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set of Parametrised Quantum Circuits (PQCs) that cover different parts of the Hilbert Space.
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Unlike previous training free Quantum Architecture Searches@training-free@evolutionary-architecture-search
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we will make the search hardware-specific, by implementing noise proxies,
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and target a specific expressibility instead of maximizing it to help mitigate barren plateaus,
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another differentiator is the optimisation for diversity which should increase the probability
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that a good PQC for a problem is in the produced set of PQCs.
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The program will be using one of the Quality-Diversity Evolutionary Algorithms@qdea to achieve this,
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the quality aspect will use the Expressibility, Entanglement, and simulated Noise -or proxies for these-
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to determine the Quality, while some measure of distance between different expressible Hilbert Spaces
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will be developed to help the algorithm with the Diversity aspect.
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We opt for a modular but integrated approach where it's simple to modify, add, or remove proxies
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from the Evolutionary Algorithm, this way the system can be built upon for future research.
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In the next parts I'll list the inputs and outputs in a more structured way.
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= Inputs
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- Hardware description (like in Qiskit for example)
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- Topology: Connection graph between qubits
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- Valid gates: Valid hardware gates on each qubit/connection
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- Fidelities of gates: Gate fidelity on a per-qubit/connection basis
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- Decoherence times: Decoherence times of each qubit
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- Target Expressibility: Expressibility that should be searched towards, both lower and higher than the target will be penalised by the cost function
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- Target Entanglement: Entanglement that should be searched towards, also penalises both ways
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- Minimal Fidelity: Circuits with a lower output fidelity than this will get penalised
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= Outputs
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- The set of optimised PQCs that cover a diverse set of areas on the Hilbert space
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- each circuit will balance diversity and performance (based on input targets)
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- each circuit will have a one-to-one trivial mapping to the hardware due to hardware descriptor input
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- The final values of each used proxy per circuit
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- Expressibility
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- Entanglement
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- Fidelity
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#bibliography("references.bib")
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