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Wiesner Quantum Money
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==Outline== Let the money have <math>n</math> isolated systems <math>S_i\in\{a, b, \alpha, \beta\}, i=1,...,n</math>. * The Mint creates two random binary sequences of <math>n</math> digits <math>M_i,N_i\in\{0,1\}</math> where <math>i=1,...,n</math>. Then, two-state systems are placed in one of four states <math>a, b, \alpha, \beta</math>. # Bank prepares a pair of orthonormal base states for each state system. Then the two-state system is located in one of four states <math>a, b, \alpha, \beta</math> # The bank records all polarizations and their serial numbers. On the banknote/quantum money the serial number is plain, while polarizations are kept hidden. # If the money is returned to the Mint, it checks whether each isolated system is still in its initial state or not. Note that since no one except the Mint knows <math>M_i</math> and <math>N_i</math>, even if someone copies the money, he cannot recover the polarization.
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