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Nash Embedding: the quantum computing toolkit every programmer should have
31 August, 2020
Presentation by Faisal Shah Khan, Khalifa University
What is a faulty or noisy qubit and how does one fix it? How does a classical programmer send instructions to a quantum computer in a fault-free or at least fault-tolerant way? How does a classical user design hardware architecture composed of fault-tolerant qubits connected in in an error-free fashion, implement this design in the classical world that she inhabits, send coherent quantum signals to this properly quantum hardware, and read the output without losing the quantum advantage? Currently, programmers encode instructions in python (or any other programming language) and send them to hardware architectures composed of quasi-qubits using quasi-quantum or semi-classical signals. This makes the already faulty quasi-qubits even more so, collapsing their states to classical one’s and losing any remotely quantum advantage that their quasi-quantum nature was offering to begin with. Quantum information theorists have studied these problems extensively from several perspectives; here, I will propose a new differential geometric approach that uses Nash’s embedding theorem, and show that Nash embedding is the ideal toolkit for developing the next generation of properly quantum hardware and software.