Editing Quantum Oblivious Transfer
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===Computation phase=== | ===Computation phase=== | ||
The sender sends a random sequence of | The sender sends a random sequence of faint pulses of the four canonical polarizations from the standard basis and the Hadamard basis. | ||
The receiver randomly decides for each pulse whether to measure it in the standard or the Hadamard basis, and records the basis and measurement | The receiver randomly decides for each pulse whether to measure it in the standard or the Hadamard basis, and records the basis and measurement result in a table. | ||
He then reports to the sender the arrival times of all pulses he received, but not the bases or the measurement results. | |||
The sender then | The sender then tells the receiver the bases she used to send each of the pulses he received. | ||
The receiver partitions his pulses into two sets: a “good” set consisting of pulses he received in the correct basis, and a “bad” set consisting of pulses he received in the | The receiver partitions his pulses into two sets: a “good” set consisting of pulses he received in the correct basis, and a “bad” set consisting of pulses he received in the wrong basis. | ||
He tells the sender the addresses of the two sets without telling which is the good and which is the bad one. | He tells the sender the addresses of the two sets without telling which is the good and which is the bad one. | ||
Now, the receiver shares with the sender a word corresponding to his good set of measurements; he shares nothing with her with respect to his bad set of measurements. | Now, the receiver shares with the sender a word corresponding to his good set of measurements; he shares nothing with her with respect to his bad set of measurements. | ||
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Using the error-correcting code, sender computes the syndromes of the words corresponding to each set, and she sends them to the receiver over an error free channel. | Using the error-correcting code, sender computes the syndromes of the words corresponding to each set, and she sends them to the receiver over an error free channel. | ||
Given this data, the receiver | Given this data, the receiver should be able to recover the original word corresponding to his good set but not that corresponding to his bad set. | ||
Furthermore, the sender computes the parity of a random subset of each set, and tells the receiver the addresses defining these random subsets, but not the resulting parities. | Furthermore, the sender computes the parity of a random subset of each set, and tells the receiver the addresses defining these random subsets, but not the resulting parities. | ||
At this point, the receiver knows one of these parities exactly, and nothing about the other parity, and he knows which parity he knows. | At this point, the receiver knows one of these parities exactly, and nothing about the other parity, and he knows which parity he knows. |