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Quantum computing with AWS

4b4e27d1184e018091e4f700fee61f35?s=47 Eric Welch
April 23, 2021

Quantum computing with AWS

QC with AWS, the TSP and QFT algorithms

4b4e27d1184e018091e4f700fee61f35?s=128

Eric Welch

April 23, 2021
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  1. Quantum Computing is the future?? Eric Welch 4 April 2021

    Texas State University Department of Physics Zakhidov Optoelectronics Group https://zakhidov.wp.txstate.edu 1
  2. Texas State University Department of Physics What is Quantum Computing

    The use of quantum mechanics to perform computation | ⟩ 𝜓 = 𝛼| ⟩ 0 + 𝛽| ⟩ 1 𝛼 ! + 𝛽 ! = 1
  3. Texas State University Department of Physics

  4. Texas State University Department of Physics Why quantum?? Classical Quantum

    N S
  5. Texas State University Department of Physics How Quantum states are

    created Annealing 1. Requires ultracold environment 2. Use magnetic fields to mirror an energy minimization problem 3. Couplers used to modify probability of measurements 4. Large number of qubits (𝑛 > 2000) 5. Solves somewhat hard problems (class NP) Gate 1. Requires ultracold environment/atoms 2. Gates are used in succession for computing 3. Small number of qubits (𝑛 < 50) 4. Solves very hard problems (class P)
  6. Texas State University Department of Physics Quantum architecture Dwave –

    quantum annealing 1. Niobium SQUID device 2. Superconducting couplers 3. Gates are formed by Josephson junctions 4. Individual qubit memory Ionq – gate-based ion 1. Ytterbium ions 2. Linear chain gate model 3. Complete connectivity Rigetti – gate based 1. Si SQUID device 2. Outer casing for supercooling 3. Optical wires 4. Liquid He-3 and He-4 5. Swap gates to link outer qubits
  7. Texas State University Department of Physics What can quantum computing

    do?? ?? ✅ Encryption/Cryptography ✅ Grover’s Algorithm – find an item in a database ✅ Simulation of quantum systems – quantum chemistry, physics and material science ✅ Adiabatic optimization – energy minimization problems ✅ Machine learning ✅ Genomics – computational biology
  8. Texas State University Department of Physics The reality of quantum

    computing Pros ✅ Speed (quantum advantage) ✅ Exponentially larger storage capacity ✅ Potential use in solving some of the most advanced problems in maths and science Cons ❌ Currently, there are no room temperature superconductors ❌ Qubit entanglement and coupling is challenging and prone to errors ❌ Noise is hard to account for ❌ Cosmic rays may interfere and cause decoherence, losing all data
  9. Texas State University Department of Physics Quantum Computing Tools SIMULATORS

    MACHINES
  10. Texas State University Department of Physics Quantum Simulations - TSP

    TSP Problem: Imagine, a traveling salesman needs to visit N cities traversing the shortest path, and only visiting each city once Brute force: try every possible path until the minimum is found Greedy: only test nearest neighbors Python library: dynamic programming (subsystem optimization) AWS classical simulator: brute force type method using simulated annealing AWS quantum simulators: QUBO method (similar to Ising model) AWS machines: can utilize numerous methods both in gate and annealing architectures
  11. Texas State University Department of Physics Quantum Simulations - QFT

    Like classical DFT, QFT applies DFT to the amplitudes of a quantum state Shor’s algorithm – factor large numbers Computing the discrete logarithm Quantum phase estimation algorithm Estimate eigenvalues of a unitary operator
  12. Texas State University Department of Physics HUMAN QUANTUM COMPUTERS?? Thank

    you!! Questions??