Quantum Teleportation

||Quantum Information Processing II Implementations: Quantum Teleportation

“Deterministic quantum teleportation with feed-forward in a solid state system”Steffen, Lars, et al. Nature 500.7462 (2013): 319-322.

Christoph Dlapa, Martin Stadler, Martin Woschank

03.04.2017

Introduction and Repetition• Why quantum teleportation

• Algorithm and Gates

Implementation of the Circuit

Results and Discussion

03.04.2017Christoph Dlapa, Martin Stadler, Martin Woschank 2

Outline

||Quantum Information Processing II Implementations: Quantum Teleportation 03.04.2017Christoph Dlapa, Martin Stadler, Martin Woschank 3

Why quantum teleportation?

Theory of Quantum Teleportation

sender

mediator

receiver

Transmission of

classical information

Implementation

sender

mediator

receiver

Multy-Qubit Cavity Bus (Transmission line)

Qubits coupled to/via oszillator• Similar to Cavidy-QED

• Large dipol, low dissipation

Strong coupling limit

Transition frequencies tunable through flux in qubit loop

Determine setup parameters through vacuum-Rabi-oszillations

Majer, J., et al. "Coupling superconducting qubits via a cavity bus." Nature 449.7161 (2007): 443-447.

Qubit-Qubit interaction through virtual photons

No direct interactions with the cavity

Quantum Non-Demolition (QND) Measurement of individual and joint qubit states

Two-Qubit Cavity Bus

Majer, J., et al. "Coupling superconducting qubits via a cavity bus." Nature 449.7161 (2007): 443-447.

Implementation of the Circuit

Implementation through the avoided crossing

CPHASE-Gate

DiCarlo, L., et al. "Demonstration of two-qubit algorithms with a superconducting quantum processor." Nature 460.7252 (2009): 240-244.

Ideal protocol:• Entangled pair between A and B

• Two-qubit measurement to identify all four Bell states

• Feed-forward of the classical information

Problem: space-like realization between sender and receiver

Protocol

Post-selected teleportation

Deterministic teleportation

Deterministic teleportation with feed-forward

Applied Methods

Implementation

Only need to distinguish one of the four Bell states

Through Josephson parametric amplifier measure whether Q1 is e.g. 00 (nooperations needed)

2nd Josephson parametric amplifier to read out Q3

To get process matrix χ00 four linearly indep input states will be used

(full process tomography)

Post-Selected teleportation protocol

Relation between process and output-state fidelity:•

d… dimensionality of states

Any Bell-state can be put into computational basis by applying π pulses toQ1 or Q2

Fidelities

Results and Discussion

Direction of view for image a

Extended Data Figure 2 | Characterization of the joint readout of Q1 and Q2

Deterministic readout

Extended Data Figure 1 | Pulse sequence of the teleportation protocol with feed-forward

Feedforward: ~500 ns !!!

Deterministic readout with feed-forward

Postselection process matrix

Deterministic readout process matrix

Deterministic readout with feed-forward process matrix

Post-selection

Deterministic readout

With feed-forward

Process matrices

Extended Data Table 1

Success probabilities for the joint readout

Extended Data Table 2

Process fidelities of the feed-forward pulses

Error sources

March 2014

Psi- created with F = 87 %

f = 1/250 s⁻¹

Average state fidelity

F = (77 ± 3) %

Readout fidelity

F = (96,3 ± 0,5) %

Comparision to quantum teleportation in NV-centers

May 2013

Phi created with F = 92 %

f = 10⁴ s⁻¹

Average state fidelity

F = (68,8 ± 0,5) %

Readout fidelity

F = (89,1 ± 0,5) %

Thank you for your attention!

Extended Data Figure 3 | Characterization of the output states

Quantum Teleportation · 2017. 4. 12. · Quantum Information Processing II Implementations:...

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