Quantum Computation John McKinney Ventura College Mentor: Markus - - PowerPoint PPT Presentation

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Quantum Computation John McKinney Ventura College Mentor: Markus - - PowerPoint PPT Presentation

Nov 05, 2023 124 likes •391 views

Quantum Computation John McKinney Ventura College Mentor: Markus Ansmann Professor: Dr. John Martinis Big spenders: Disruptive Technologies Office (DTO) Classical Computation Operates on classical principles Bit can be in

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SLIDE 1

Quantum Computation

John McKinney Ventura College

  • Mentor: Markus Ansmann
  • Professor: Dr. John Martinis
  • Big spenders: Disruptive

Technologies Office (DTO)

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SLIDE 2

Classical Computation

  • Operates on classical

principles

  • Bit can be in state 0 or 1
  • Operations performed by

logic gates (like flipping light switches)

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SLIDE 3

Quantum Computation

  • Operates on Quantum

principles

  • Qubit can be in any state

A|0>+B|1>

  • Operations performed by

unitary transformations

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SLIDE 4
  • Quantum Systems
  • Plucked Strings
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SLIDE 5
  • Quantum Systems
  • Plucked Strings
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SLIDE 6
  • Quantum Systems
  • Plucked Strings
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SLIDE 7
  • Quantum Systems
  • Plucked Strings
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SLIDE 8
  • Quantum Systems
  • Plucked Strings
  • Can only have specific vibrational

modes

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SLIDE 9
  • Quantum Systems
  • Exist only in specific energy states
  • Plucked Strings
  • Vibrate only at specific frequencies –

called harmonics

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SLIDE 10
  • Quantum Systems
  • Exist only in specific energy values
  • Plucked Strings
  • Vibrate only at specific frequencies –

called harmonics

  • Linear combinations of harmonics are
  • kay

+ =

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SLIDE 11
  • Quantum Systems
  • Exist only in specific energy values
  • Can be in a superposition of energy

states: A|0>+B|1>

  • Plucked Strings
  • Vibrate only at specific frequencies –

called harmonics

  • Linear combinations of harmonics are
  • kay

+ =

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SLIDE 12
  • Plucked Strings
  • Vibrate only at specific frequencies –

called harmonics

  • Linear combinations of harmonics are
  • kay
  • Quantum Systems
  • Exist only in specific energy values
  • Can be in a superposition of energy

states: A|0>+B|1>

  • We can only measure a |0> or a |1>
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SLIDE 13
  • State represented by

vector on Bloch Sphere

  • Operations represented

by rotations about an axis

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SLIDE 14
  • State represented by

vector on Bloch Sphere

  • Operations represented

by rotations about an axis

Probability

  • f

measurement Time (nanoseconds) 0 ns 200 ns 0% 100%

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SLIDE 15
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SLIDE 16
  • Coupled Qubits behave as a single system
  • A change in one qubit has an immediate effect on the other
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SLIDE 17

Probability

  • f

measurement Time (nanoseconds) 0 ns 200 ns 0% 100%

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SLIDE 18
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SLIDE 19
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SLIDE 20

T1 = 10000000000 ns Fidelity = 100%,100%,100%,100% OffResQ1 = 0 MHz OffResQ2 = 0 MHz uWXtalk = 0%, 0% measXTalk = 0%, 0%

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SLIDE 21

T1 = 130 ns Fidelity = 100%,100%,100%,100% OffResQ1 = 0 MHz OffResQ2 = 0 MHz uWXtalk = 0%, 0% measXTalk = 0%, 0%

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SLIDE 22

T1 = 130 ns Fidelity = 95%,90%,92%,98% OffResQ1 = 0 MHz OffResQ2 = 0 MHz uWXtalk = 0%, 0% measXTalk = 0%, 0%

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SLIDE 23

T1 = 130 ns Fidelity = 95%,90%,92%,98% OffResQ1 = 1.6153 MHz OffResQ2 = -2.2881MHz uWXtalk = 2.5%, 0% measXTalk = 6.08%, 11%

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SLIDE 24

Why Simulate?

  • Interpretation of the results of experiments
  • Characterization of qubits
  • Determination of whether experiments are feasible
  • Determination of necessary improvements
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SLIDE 25
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SLIDE 26

Acknowledgements

INSET Folks

Samantha Freeman Liu-Yen Kramer

Martinis Group

  • Dr. John Martinis
  • Dr. Nadav Katz
  • Dr. Robert McDermott

Markus Ansmann Radek Bialczak Erik Lucero Matthew Neeley

CNSI Folks

Evelyn Hu

  • Dr. Nicholas Arnold