A quantum state is read out by measuring overlaps against Lorentzian basis states and fitting the coefficients classically, reducing the number of measurements for localized, continuous states.
Quantum Lower Bounds for Fanout
1 Pith paper cite this work. Polarity classification is still indexing.
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abstract
We prove several new lower bounds for constant depth quantum circuits. The main result is that parity (and hence fanout) requires log depth circuits, when the circuits are composed of single qubit and arbitrary size Toffoli gates, and when they use only constantly many ancill\ae. Under this constraint, this bound is close to optimal. In the case of a non-constant number $a$ of ancillae, we give a tradeoff between $a$ and the required depth, that results in a non-trivial lower bound for fanout when $a = n^{1-o(1)}$.
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Quantum State Readout via Overlap-Based Feature Extraction
A quantum state is read out by measuring overlaps against Lorentzian basis states and fitting the coefficients classically, reducing the number of measurements for localized, continuous states.