X - NASA Quantum Future Technologies Conference

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Thermal vs Quantum Annealing §� Quantum system can explore solution landscape defined by objective function in superposition and tunnel to global minimum Courtesy DWave Systems, Inc.
How Quantum Annealing via AQC Works §� Step 1: Re-‐cast the problem as combinatorial optimization ú� Map any NP-‐complete or NP-‐hard problem into an equivalent combinatorial optimization problem such that the optimal solution corresponds to the minimum of an energy function given by: N r Es ( ) =− hs− Jss wheres=± 1and h, J ∈R ∑ ∑ i i ij i j i i ij i= 1 i< j §� Step 2: Load optimization problem onto quantum processor ú� Hardware designed to find ground state of Ising Hamiltonian natively N P =−∑ z ˆ iσi −∑ z z ˆ ˆ ijσiσ j i= 1 i< j H h J §� Step 3: Initialize hardware to ground state of Hamiltonian H I N x ˆ I =−∑ i i= 1 H σ §� Step 4: Slowly (adiabatically) interpolate from H I to H P t ⎛⎛ t ⎞⎞ Instantaneous Hamiltonian Ht () = HP + ⎜⎜1− ⎟⎟HI T ⎝⎝ T ⎠⎠ ú� Why it Works: Adiabatic Theorem of Quantum Mechanics guarantees system stays in the ground state of the instantaneous Hamiltonians passed through and therefore ends in the ground state of HP
Page 1 and 2: Colin P. Williams (JPL) NASA QUANTU
Page 3 and 4: Impact if Successful §� Guarante
Page 5 and 6: Recent NASA Incidents §� NASA ne
Page 7 and 8: Stated NASA Need … §� Need “
Page 9 and 10: What are “Amplitude” & “Phase
Page 11 and 12: DV-‐QKD vs CV-‐QKD §� Mo
Page 13 and 14: Current Team §� NASA (JPL & Ames
Page 15 and 16: Telcordia Experience: Quantum Netwo
Page 17 and 18: State-‐of-‐the-‐Art in
Page 19 and 20: Technical Challenges §� Extendin
Page 21 and 22: NASA APPLICATIONS OF QUANTUM COMPUT
Page 23 and 24: Alternative Models of Quantum Compu
Page 25: Progress in Quantum Hardware Trappe
Page 29 and 30: State-‐of-‐the-‐Art Adi
Page 31 and 32: Applications N.B. the quantum proce
Page 33 and 34: Example: Image Registration §� G
Page 35 and 36: Example: Optimal Sensor Placement
Page 37 and 38: Risks & Payoffs §� Risks ú� N
Page 39 and 40: Thank you! Mauna Kea Haleakala, Mau
Page 41 and 42: Key Milestones in CV-‐QKD §�
Page 43 and 44: CV-‐QKD in Free-‐Space Comm
Page 45 and 46: CV-‐QKD is Preferred Option for
Page 47: US OIG Audit - the Results §� We

X - NASA Quantum Future Technologies Conference

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