Loading [MathJax]/extensions/mml2jax.js
Skip to main content
Library homepage
 

Text Color

Text Size

 

Margin Size

 

Font Type

Enable Dyslexic Font
Physics LibreTexts

Search

  • Filter Results
  • Location
  • Classification
    • Article type
    • Author
    • Embed Hypothes.is?
    • Embebbed CalcPlot3D?
    • Cover Page
    • License
    • Show TOC
    • Transcluded
    • OER program or Publisher
    • Student Analytics
    • Autonumber Section Headings
    • License Version
    • Print CSS
      • Screen CSS
      • PrintOptions
    • Include attachments
    Searching in
    About 1 results
    • https://phys.libretexts.org/Bookshelves/Quantum_Mechanics/Quantum_Mechanics_III_(Chong)/03%3A_Quantum_Entanglement/3.05%3A_Quantum_Cryptogaphy
      According to Equation \(\eqref{clone}\), \[\begin{align}\begin{aligned} \Big(\langle \psi_1 | \langle 0 | \hat{U}^\dagger \Big) \Big(\hat{U} | \psi_2 \rangle |0\rangle \Big) &= \Big(\langle \psi_1| \l...According to Equation \(\eqref{clone}\), \[\begin{align}\begin{aligned} \Big(\langle \psi_1 | \langle 0 | \hat{U}^\dagger \Big) \Big(\hat{U} | \psi_2 \rangle |0\rangle \Big) &= \Big(\langle \psi_1| \langle \psi_1| e^{-i\phi_1} \Big) \Big( e^{i\phi_2} |\psi_2\rangle|\psi_2\rangle\Big) \\ &= e^{-i(\phi_1-\phi_2)} \Big( \langle\psi_1 | \psi_2\rangle \Big)^2. \end{aligned}\label{clone1}\end{align}\] Here, \(\phi_1\) and \(\phi_2\) are the phase factors from Equation \(\eqref{clone}\) for the two ch…

    Support Center

    How can we help?