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Device-Independent Quantum Key Distribution: Difference between revisions
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Device-Independent Quantum Key Distribution (edit)
Revision as of 13:15, 19 March 2019
, 19 March 2019→Pseudo Code
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<u>'''Stage 2'''</u> Error Correction</br> | <u>'''Stage 2'''</u> Error Correction</br> | ||
* Sender and Receiver apply the error correction protocol <math>EC</math>, communicating script <math>O_{EC}</math> in the process. | * Sender and Receiver apply the error correction protocol <math>EC</math>, communicating script <math>O_{EC}</math> in the process. | ||
# '''If''' <math>EC</math> aborts they abort the protocol | # '''If''' <math>EC</math> aborts, they abort the protocol | ||
# '''Else''' they obtain raw keys <math>\tilde{A}_1^n</math> and <math>\tilde{B}_1^n</math>. | # '''Else''' they obtain raw keys <math>\tilde{A}_1^n</math> and <math>\tilde{B}_1^n</math>. | ||
<u>'''Stage 3'''</u> Parameter estimation</br> | <u>'''Stage 3'''</u> Parameter estimation</br> | ||
#Using <math>B_1^n</math> and <math>\tilde{B}_1^n</math>, | #Using <math>B_1^n</math> and <math>\tilde{B}_1^n</math>, Receiver sets <math>C_i</math> | ||
##'''If''' <math>T_i=1</math> and <math>A_i\oplus B_i=X_i\cdot Y_i</math> '''then''' <math>C_i=1</math> | ##'''If''' <math>T_i=1</math> and <math>A_i\oplus B_i=X_i\cdot Y_i</math> '''then''' <math>C_i=1</math> | ||
##'''If''' <math>T_i=1</math> and <math>A_i\oplus B_i=X_i\cdot Y_i</math> '''then''' <math>C_i=0</math> | ##'''If''' <math>T_i=1</math> and <math>A_i\oplus B_i=X_i\cdot Y_i</math> '''then''' <math>C_i=0</math> | ||
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#He aborts '''If''' <math>\sum_j C_j<m\times \Bigg(\omega_{exp}-\delta_{est}}(1-(1-\gamma)^{s_{\max}\Bigg)) | #He aborts '''If''' <math>\sum_j C_j<m\times \Bigg(\omega_{exp}-\delta_{est}}(1-(1-\gamma)^{s_{\max}\Bigg)) | ||
*\textit{i.e.}, if they do not achieve the expected violation. | *\textit{i.e.}, if they do not achieve the expected violation. | ||
<u>'''Stage 4'''</u> | |||
< | <u>'''Stage 4'''</u> Privacy amplification | ||
*<math>PA(\cdot,\cdot)</math> is a privacy amplification subroutine | |||
# Sender and Receiver run <math>PA(A_1^{n'},\tilde{B}_1^{n'})</math> and obtain secret keys <math>K_A, K_B</math>; | |||
==Further Information== | ==Further Information== | ||