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**Putting Weirdness to Use**

Quantum Technology: Putting Weirdness to Use This is an architects conception of the new Physical Sciences Complex on the campus of the University of Maryland. It will be a state-of-the art laboratory facility, with excellent control over temperature, humidity, air quality, and vibration. Chris Monroe University of Maryland Department of Physics National Institute of Standards and Technology

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**Quantum mechanics and computing atom-sized transistors molecular-sized**

2040 molecular-sized 2025

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**“There's Plenty of Room at the Bottom” (1959)**

Richard Feynman “When we get to the very, very small world – say circuits of seven atoms - we have a lot of new things that would happen that represent completely new opportunities for design. Atoms on a small scale behave like nothing on a large scale, for they satisfy the laws of quantum mechanics…”

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**Quantum Information Science**

A new science for the 21st Century? Quantum Mechanics Information Theory 20th Century 21st Century Quantum Information Science

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**Computer Science and Information Theory**

Charles Babbage ( ) mechanical difference engine Alan Turing ( ) universal computing machines Claude Shannon ( ) quantify information: the bit

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ENIAC (1946)

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**The first solid-state transistor (Bardeen, Brattain & Shockley, 1947)**

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**Quantum Mechanics: A 20th century revolution in physics**

Why doesn’t the electron collapse onto the nucleus of an atom? Why are there thermodynamic anomalies in materials at low temperature? Why is light emitted at discrete colors? Erwin Schrödinger ( ) Albert Einstein ( ) Werner Heisenberg ( )

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**The Golden Rules of Quantum Mechanics**

Rule #1: Quantum objects are waves and can be in states of superposition. “qubit”: |0 and |1 Rule #2: Rule #1 holds as long as you don’t look! |0 and |1 |1 |0 or probability p p

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**f(x) f(x) GOOD NEWS… quantum parallel processing on 2N inputs**

Example: N=3 qubits = a0 |000 + a1|001 + a2 |010 + a3 |011 a4 |100 + a5|101 + a6 |110 + a7 |111 f(x) N=300 qubits: more information than particles in the universe! …BAD NEWS… Measurement gives random result e.g., |101 f(x) Good-bad-good. Exponential storage. X2 example of parallelism.

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**…GOOD NEWS! quantum interference depends on all inputs**

Shor started it all

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**…GOOD NEWS! quantum interference ( ) depends on all inputs quantum**

logic gates |0 |0 + |1 |1 |1 - |0 quantum NOT gate: Shor started it all |0 |0 |0 |0 |0 |1 |0 |1 |1 |0 |1 |1 |1 |1 |1 |0 quantum XOR gate: e.g., |0 + |1 |0 |0|0 + |1|1 superposition entanglement ( )

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**Quantum State: [0][0] & [1][1]**

John Bell (1964) Any possible “completion” to quantum mechanics will violate local realism just the same

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**Entanglement: Quantum Coins**

Two coins in a quantum superposition [H][H] & [T][T] H H

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**Entanglement: Quantum Coins**

Two coins in a quantum superposition [H][H] & [T][T] T T

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**Entanglement: Quantum Coins**

Two coins in a quantum superposition [H][H] & [T][T] T T

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**Entanglement: Quantum Coins**

Two coins in a quantum superposition [H][H] & [T][T] H H

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**Entanglement: Quantum Coins**

Two coins in a quantum superposition [H][H] & [T][T] H H

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**Entanglement: Quantum Coins**

Two coins in a quantum superposition [H][H] & [T][T] H H

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**Entanglement: Quantum Coins**

Two coins in a quantum superposition [H][H] & [T][T] T T

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**+ Application: quantum cryptographic key distribution plaintext KEY**

ciphertext

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**Quantum Superposition**

From Taking the Quantum Leap, by Fred Alan Wolf

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**Quantum Superposition**

From Taking the Quantum Leap, by Fred Alan Wolf

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**Quantum Superposition**

From Taking the Quantum Leap, by Fred Alan Wolf

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**Quantum Entanglement “Spooky action-at-a-distance” (A. Einstein)**

From Taking the Quantum Leap, by Fred Alan Wolf

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**Quantum Entanglement “Spooky action-at-a-distance” (A. Einstein)**

From Taking the Quantum Leap, by Fred Alan Wolf

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**Quantum Entanglement “Spooky action-at-a-distance” (A. Einstein)**

From Taking the Quantum Leap, by Fred Alan Wolf

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**Quantum Entanglement “Spooky action-at-a-distance” (A. Einstein)**

From Taking the Quantum Leap, by Fred Alan Wolf

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David Deutsch “When a quantum measurement is made, the universe bifucates!” Many Universes Multiverse Many Worlds

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**fast number factoring N = pq fast database search**

David Deutsch (1985) Peter Shor (1994) Lov Grover (1996) fast number factoring N = pq fast database search 500 1000 1500 2000 2500 3000 # articles mentioning “Quantum Information” or “Quantum Computing” Nature Science Phys. Rev. Lett. Phys. Rev. 2005 1995 1990 2010 Quantum Computers and Computing Institute of Computer Science Russian Academy of Science ISSN

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**Quantum Factoring application: cryptanalysis (N ~ 10200)**

P. Shor, SIAM J. Comput. 26, 1474 (1997) A. Ekert and R. Jozsa, Rev. Mod. Phys. 68, 733 (1996) Look for a joint property of all 2N inputs e.g.: the periodicity of a function 𝑓 𝑥 =sin 2𝜋 𝑥 𝑝 x x x (Mod 15) etc… p = period 𝑓 𝑎 𝑥 = 𝑎 𝑥 (𝑀𝑜𝑑 𝑁) r = period (a = parameter) A quantum computer can factor numbers exponentially faster than classical computers 15 = 3 5 = ? ? application: cryptanalysis (N ~ 10200)

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**Error-correction Redundant encoding to protect against (rare) errors**

Shannon (1948) Redundant encoding to protect against (rare) errors potential error: bit flip 0/1 0/1 better off whenever p < 1/2 𝑝→3 𝑝 2 1−𝑝 + 𝑝 3 unprotected protected 1/0 p(error) = p 𝑝(𝑒𝑟𝑟𝑜𝑟)=3 𝑝 2 1−𝑝 + 𝑝 3 000/111 potential error: bit flip 010/101 etc.. take majority

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**Quantum error-correction**

Shor (1995) Steane (1996) Quantum error-correction P0 C C* P1 r = |0 + |1 Decoherence |0 + |1 /4{ |00000 + |10010 + |01001 + |10100 + |01010 - |11011 - |00110 - |11000 - |11101 - |00011 - |11110 - |01111 - |10001 - |01100 - |10111 + |00101 } + /4{ |11111 + |01101 + |10110 + |01011 + |10101 - |00100 - |11001 - |00111 - |00010 - |11100 - |00001 - |10000 - |01110 - |10011 - |01000 + |11010 } 5-qubit code corrects all 1-qubit errors to first order

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**Trapped Atomic Ions Yb+ crystal ~5 mm**

C.M. & D. J. Wineland, Sci. Am., 64 (Aug 2008) R. Blatt & D. J. Wineland, Nature 453, (2008)

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**Quantum bit inside an atom: States of relative electron/nuclear spin**

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**“Perfect” quantum measurement of a single atom**

state | state | # photons collected in 200ms Probability 30 20 10 0.2 atom fluoresces 108 photons/sec laser laser atom remains dark 30 20 10 1 # photons collected in 200ms >99% detection efficiency!

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**Internal states of these ions entangled**

Trapped Ion Quantum Computer Internal states of these ions entangled Cirac and Zoller, Phys. Rev. Lett. 74, 4091 (1995)

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**Antiferromagnetic Néel order of N=10 spins**

2600 runs, a=1.12 All in state All in state AFM ground state order 222 events Since we are able to image each ion individually using the camera, we can directly observe an increase in the number of excitations as we move to long-range afm interactions. For instance, with 10 spins, we can easily see the difference between when each of our spins is up and when each is down. If we turn on our antiferromagnetic hamiltonian, we can then image our degenerate Neel ordered ground state. If we perform 2600 simulations of our AFM hamiltonian with a range of interaction parameterized by this alpha, we find About 220 events for each of the ground states, or 17 percent probability of landing in the ground state. Compared to the probability of falling into these states at random, it’s clear that we’re still recovering some ground state character. 1:00 – 16:00 219 events 441 events out of = 17% Prob of any state at random =2 x (1/210) = 0.2%

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**(see K. Brown) a (C.O.M.) b (stretch) c (Egyptian) Mode competition –**

example: axial modes, N = 4 ions d (stretch-2) 60 mode amplitudes b+c d c b 2b,a+c a+b c-a b-a 2a b-a c-a b+c cooling beam a a+b 2b,a+c Fluorescence counts 40 2a a b d carrier axial modes only c 20 -15 -10 -5 5 10 15 Raman Detuning dR (MHz)

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1 mm

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**Sandia Nat’l Lab: Si/SiO2**

Maryland/LPS GaAs/AlGaAs GaTech Res. Inst. Al/Si/SiO2 NIST-Boulder Au/Quartz Sandia Nat’l Lab: Si/SiO2

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**Photonic Quantum Networking**

Linking ideal quantum memory (trapped ion) with ideal quantum communication channel (photon) optical fiber trapped ions trapped ions

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Single atom here Single atom here

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**Quantum teleportation of a single atom**

unknown qubit uploaded to atom #1 | + | qubit transfered to atom #2 | & | S. Olmschenk et al., Science 323, 486 (2009).

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we need more time.. and more qubits..

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**Large scale vision (103 – 106 atomic qubits)**

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**Classical Computer Architecture**

1 layer of transistors, 9-12 layers of connectors Interconnect complexity determines circuit complexity Efficient transport of bits in the computer is crucial ibm.com

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**Quantum Information Science**

A new science for the 21st Century? Quantum Mechanics Information Theory 20th Century 21st Century Quantum Information Science Physics Chemistry Computer Science Electrical Engineering Mathematics Information Theory

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**Quantum Computing Abyss**

state-of-the-art experiments theoretical requirements for “useful” QC 20 # quantum bits >1000 <100 # logic gates >109 noise reduction error correction ? new technology efficient algorithms

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This is an architects conception of the new Physical Sciences Complex on the campus of the University of Maryland. It will be a state-of-the art laboratory facility, with excellent control over temperature, humidity, air quality, and vibration.

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**Quantum Information Hardware at**

Individual atoms and photons ion traps atoms in optical lattices cavity-QED Semiconductors quantum dots 2D electron gases Other condensed-matter single atomic impurities in glass single phosphorus atoms in silicon Superconductors Cooper-pair boxes (charge qubits) rf-SQUIDS (flux qubits)

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**BUT MAYBE NOT THESE GUYS!**

You may have heard about D-Wave, the company that claims to have already produced a quantum computer They are learning, the hard way, that making a quantum system big is very difficult

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1947 ENIAC (1946)

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Richard Feynman (1982) We have always had a great deal of difficulty in understanding the world view that quantum mechanics represents… …Okay, I still get nervous with it… It has not yet become obvious to me that there is no real problem. I cannot define the real problem, therefore I suspect there’s no real problem, but I’m not sure there’s no real problem.

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N=1028 N=1

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**www.iontrap.umd.edu JOINT QUANTUM INSTITUTE Grad Students Postdocs**

David Campos Clay Crocker Shantanu Debnath Caroline Figgatt Dave Hayes (Sydney) David Hucul Volkan Inlek Rajibul Islam (Harvard) Aaron Lee Kale Johnson Simcha Korenblit Andrew Manning Jonathan Mizrahi Crystal Senko Jake Smith Ken Wright Postdocs Susan Clark (Sandia) Wes Campbell (UCLA) Taeyoung Choi Chenglin Cao Brian Neyenhuis Phil Richerme Grahame Vittorini Collaborators Luming Duan Howard Carmichael Jim Freericks Alexey Gorshkov NSA Undergrads Daniel Brennan Geoffrey Ji Katie Hergenreder ARO

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