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Modeling a Flying Microwave Qubit

Slide 1 /8. Transferring Quantum Information Using Superconducting Waveguides. Kyle Keane. Modeling a Flying Microwave Qubit. Alexander N. Korotkov. FUNDING AGENCIES. Introduction. Slide 2 /8. OPERATIONS “ALICE” “PRE-PROCESSOR” “INTERMEDIATE RESULTS”. What is a Flying Qubit ?.

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Modeling a Flying Microwave Qubit

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  1. Slide 1/8 Transferring Quantum Information Using Superconducting Waveguides Kyle Keane Modeling a Flying Microwave Qubit Alexander N. Korotkov FUNDING AGENCIES Kyle Keane and Alexander N. Korotkov

  2. Introduction Slide 2/8 OPERATIONS “ALICE” “PRE-PROCESSOR” “INTERMEDIATE RESULTS” What is a Flying Qubit? Qubit that moves information between two processing or storage sites TRANSFER Why do we need them? Communication between two parties or nodes in a modular quantum computer “Flying Qubit” OPERATIONS “BOB” “PROCESSOR” “COMPUTATION” What do we look at? Microwave in a superconducting transmission line Kyle Keane and Alexander N. Korotkov

  3. Slide 3/8 Jahne, Yurke, Gavish: Proposed protocol with one tunable coupler What has been done? Cirac, Zoller, Kimble, Mabuchi: ??? Braunstein, Kimble: ??? Razavi, Shapiro: ??? Kyle Keane and Alexander N. Korotkov

  4. Slide 4/8 System Example from UCSB High-Q Storage Tunable Couplers Coplanar Waveguide or Phase Qubit Transmission Line 1 Superconducting Waveguide Tunable Parameter Kyle Keane and Alexander N. Korotkov

  5. Slide 5/8 SYSTEM HIGH-Q (WEAK COUPLING) Main Idea This is still not a trivial problem CANCEL BACK REFLECTION Need INTERFERENCE “back into line” r B B t B r A A t A “into resonator” Transmission line Receiving resonator Kyle Keane and Alexander N. Korotkov

  6. Slide 6/8 DEFINITIONS Time Dependence of Couplers 1. WANT VOLTAGE FLOWING IN ONLY 2. EASIER TO THINK OF IT FLOWING OUT ONLY TL R TL R 3. TIME REVERSAL OF FLOWING OUT ONLY GIVES OUR NEEDED TIME DEPENDENCE 4. REQUIRES SPECIFIC CONTROL OF FIRST COUPLER TL R REQUIRES Kyle Keane and Alexander N. Korotkov

  7. Slide 7/8 Qubit transferred to here Qubit initially is here Achieving Near-Perfect Transfer Transmission Coefficients Time (t) Kyle Keane and Alexander N. Korotkov

  8. Slide 8/8 Qubit transferred to here Qubit initially is here Second Half = Time Reversal Transmission Coefficients Time (t) Kyle Keane and Alexander N. Korotkov

  9. Slide 9/8 Qubit transferred to here Qubit initially is here Ideal Estimates and Deviations UCSB Transmission Coefficients Transmission Coefficients Time (t) ? ? MAX Time (t) Kyle Keane and Alexander N. Korotkov

  10. Slide 10/8 Timing Errors Time (t) Transmission Coefficients Fidelity (η) For 420 ns protocol This is 25 ns synchronized timing is very important Designed for η=0.999 Kyle Keane and Alexander N. Korotkov

  11. Slide 11/8 Maximum Coupling Time (t) Transmission Coefficients Designed for η=0.999 Fidelity (η) Identical couplers are important Kyle Keane and Alexander N. Korotkov

  12. Slide 12/8 MAX Resonator Q Factor Time (t) Transmission Coefficients Equal Q-factors are not very important Fidelity (η) Kyle Keane and Alexander N. Korotkov

  13. Slide 13/8 Known Frequency Mismatch Fidelity (η) Detuning (MHz) Kyle Keane and Alexander N. Korotkov

  14. Conclusions Slide 14/8 something Other Considerations something Multiple reflections Lossy materials Kyle Keane and Alexander N. Korotkov

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