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Invariants in Linear Optics
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Invariants in Linear Optics
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Linear optics (LO) prohibits certain transformations. In this paper, we study the conditions for a computation to be possible in LO. We find that there are finitely many polynomials such that each of these polynomials evaluates to the same value on two photonic states if and only if there is a LO circuit transforming one of these states into the other. The proof is non-constructive, so we then focus on methods to find such polynomials.
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Cited by 1 Pith paper
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Local controllability of heralded quantum linear optics
Jacobian rank analysis quantifies how heralding enlarges the locally accessible state space in photonic linear optics and identifies resources for full local controllability.
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