Improved Techniques for Preparing Eigenstates of Fermionic Hamiltonians — mentioned by Strilanc

Wed, 07 Aug 2024 23:36:24 GMT

No, that's not true at all. For example, a chemistry simulation can be done in first quantization; where the state is a list of superposed 2s-complement integers indicating the positions of the electrons (as opposed to a more direct one-qubit=one-position mapping). And the list is initialized in a way that satisfies the Pauli exclusion principle by using a sorting network [1]. This is presumably not at all how Nature does it. Another example is factoring. Shor's factoring algorithm is not at all like behaving analogous to a physical system. It's about modular exponentiation and Fourier…

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Improved Techniques for Preparing Eigenstates of Fermionic Hamiltonians · HackerPapers discussions

Improved Techniques for Preparing Eigenstates of Fermionic Hamiltonians — mentioned by Strilanc