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Quantum Strong Coin Flipping
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==Notation== # <math>\psi(i) \ \forall \ i \in \{0,1\}</math>: Predetermined single qubit states # <math>\theta</math>: Angle between <math>\psi(0)</math> and <math>\psi(1)</math> # <math>a_j</math>: A random bit prepared by the first party in step 1 # <math>b_j</math>: A random bit prepared by the second party in step 1 # <math>\{a_1,...,a_m\}</math>: Set of random bits prepared by first party in step 1 # <math>\{b_1,...,b_m\}</math>: Set of random bits prepared by second party in step 1 # <math>c_{ij}</math>: A random bit prepared by the first party in step 2 # <math>d_{ij}</math>: A random bit prepared by the second party in step 2 # <math>\{c_{11},...,c_{nm}\}</math>: Set of random bits prepared by first party in step 2 # <math>\{d_{11},...,d_{nm}\}</math>: Set of random bits prepared by second party in step 2 # <math>\Phi(i)</math>: Set of <math>n</math> qubits, each in <math>\psi(i)</math> state # <math>(E_i,E_i^\perp)</math>: POVMs defined by <math>E_i = |\Phi(i)\rangle\langle\Phi(i)|</math> and <math>E_i^\perp = 1 - E_i</math>.
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