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GHZ-based Quantum Anonymous Transmission: Difference between revisions
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## <math>R</math> applies a phase flip <math>Z</math> to her qubit, if <math>b \oplus \bigoplus_{j \in [n] \setminus \{S,R\}} m_j = 1</math>. </br> <math>S</math> and <math>R</math> share anonymous entanglement <math>|\Gamma\rangle_{SR} = \frac{1}{\sqrt{2}} (|00\rangle + |11\rangle)</math>. | ## <math>R</math> applies a phase flip <math>Z</math> to her qubit, if <math>b \oplus \bigoplus_{j \in [n] \setminus \{S,R\}} m_j = 1</math>. </br> <math>S</math> and <math>R</math> share anonymous entanglement <math>|\Gamma\rangle_{SR} = \frac{1}{\sqrt{2}} (|00\rangle + |11\rangle)</math>. | ||
# <math>S</math> uses the quantum teleportation circuit with input <math>|\psi\rangle</math> and anonymous entanglement <math>|\Gamma\rangle_{SR}</math>, and obtains measurement outcomes <math>m_0, m_1</math>. | # <math>S</math> uses the quantum teleportation circuit with input <math>|\psi\rangle</math> and anonymous entanglement <math>|\Gamma\rangle_{SR}</math>, and obtains measurement outcomes <math>m_0, m_1</math>. | ||
# The players run a protocol to anonymously send bits <math>m_0,m_1</math> from <math>S</math> to <math>R</math> (see | # The players run a protocol to anonymously send bits <math>m_0,m_1</math> from <math>S</math> to <math>R</math> (see [[GHZ-based Quantum Anonymous Transmission #Further Information|Further Information]] for details). | ||
# <math>R</math> applies the transformation described by <math>m_0,m_1</math> on his part of <math>|\Gamma\rangle_{SR}</math> and obtains <math>|\psi\rangle_{SR}</math>. | # <math>R</math> applies the transformation described by <math>m_0,m_1</math> on his part of <math>|\Gamma\rangle_{SR}</math> and obtains <math>|\psi\rangle_{SR}</math>. | ||