Computing with Quantum Cats

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Computing with Quantum Cats Page 26

by John Gribbin

Clauser, John, 165–9, 171, 172, 173, 174

  Cleve, Richard, 211–12

  Cloud, 91–2

  CNOT (Controlled NOT) gate, 215–17, 220, 225–6, 228, 240, 262–4

  coarse-grained universes, 201–2

  codes, see ciphers and codes

  Cohen, Morrel, 233

  Colossus: achievements, 41, 42–3; destruction of machines, 43–4; development, 40–1, 82, 93, 203; first electronic computer, 42, 77; Flowers’ work, 40–2, 49; production, 41–2; programming, 42; replica, 44; size, 253; Turing's work, 33, 40–3; valves, 40–1, 263

  Columbia University, 69, 100

  Commins, Gene, 164, 166–7

  Communications Supplementary Services (Washington) (CSSW), 33

  computation: act of, 125–7; reversible, 126, 127–9

  computers: conventional (classical), 2–3, 132, 203, 210, 213–15, 224; fallibility of components, 82–4; first complete and fully operational electronic digital stored-program computer, 77; first electronic computer, 42, 70, 77; first programmable electromechanical digital computer, 70; first stored-program computer, 49, 70, 76–7; languages, 50; parallel architecture, 80; quantum, see quantum computers; reversible, 128; serial architecture, 79–80; size, 253; Turing machines, 20–1, 43, 81–2, 91, 131, 196–7; Turing's early work, 18–20, 28; universal, 20, 46, 86

  Computron, 73

  Copenhagen Interpretation, 105–7; Bell's work, 158–9, 184; Bohm's work, 146, 147; comparison with hidden variables theory, 139; Einstein's view, 142, 144; Everett's work, 184, 186; influence, 145, 149; Schrödinger's view, 120–2, 138

  CPT theorem, 153

  cryptography: future of quantum computing, 265; “one time pad,” 203–4; public key, 204–5; RSA algorithm, 204–6; Shannon's work, 125; Shor's algorithm, 206–9, 210, 212, 213; Turing's work, 23–4, 33, 38–9

  D-Day, 42–3

  Dalibard, Jean, 171

  Dán, Klára (Klári), 59–60

  data storage, 91–2

  Datta, Animesh, 268, 269

  Davies, Paul, 161, 174, 192

  de Broglie, Louis: career, 135–6; Clauser's work, 165; hidden variables theory, 137–8, 144–5; 90th birthday symposium, 154; on particles and waves, 136; pilot wave idea, 137, 138, 142, 148, 149

  de Forest, Lee, 71, 72

  decoherence: problem of, 221, 222, 225, 228–9, 245, 246; times, 228, 243–4, 247–8, 261–2

  Deep Blue, 210–11

  Deep Thought, 216

  Dehmelt, Hans, 217–19, 220, 253

  Delilah project, 34, 45

  “depths,” 38

  DEUCE, 48, 50–1

  Deutsch, David: career, 190–2, 210; on fungibility, 200–1; on Grover searching, 212; influence, 134, 175; lifestyle, 189–90; on Multiverse, 4, 199, 200, 208–9; on telepathy, 232; on testing many worlds hypothesis, 192–6; work towards quantum computers, 196–7, 206; writings: The Beginning of Infinity, 193; “Quantum Theory” paper, 196

  DeWitt, Bryce, 185, 186, 191

  Difference Tabulator, 69

  Diffie, Whitfield, 204

  Dirac, Paul, 21, 105, 118

  discord, 268–9

  DiVincenzo, David, 227–9, 240, 243, 248

  Dollis Hill research station, 39, 40–1, 47

  double-slit experiment, see experiment with two holes

  Dyson, George, 87

  Eckert, John Prosper, 69, 75, 79, 81

  EDSAC (Electronic Delay Storage Automatic Calculator), 48, 50–1, 77, 90

  EDVAC, 48, 79–82, 83, 91

  Einstein, Albert: Bohm's career, 148, 149; on Bohm's work, 146; on Copenhagen Interpretation, 142; dress, 189; EPR puzzle, 142–5, 147–8, 156, 162, 186; influence, 169, 170; on light quanta, 136; on local reality, 160; Nobel Prize, 108; at Princeton, 58–9, 143–5; on “spooky action at a distance,” 138, 144, 256

  Eisenhower, Dwight D., 43

  Ekert, Artur, 209, 216, 220

  Electronic Control Company, 81

  electronics, 71–4

  electrons: cavity quantum electrodynamics, 261; development of electronics, 72–3; experiment with two holes, 107, 109–11, 121, 137, 193; interaction, 116–19; Josephson junctions, 232; manipulation, 1, 214–15, 217–18, 220, 244; particles/waves, 105–7, 136; quantum computing, 214–15, 242, 246–7; quantum dots, 242–5; quantum entities, 93–4, 104–7, 119; self-interaction, 115–16; spin, 3, 163, 176, 220, 244–6, 248–9; superposition of states, 3; trajectory, 114; valves, 71–2, 93

  English Electric Company, 48

  ENIAC, 75–9

  Enigma, 25–30, 35, 44, 203, 204

  entanglement: Commins's view, 166; de Broglie's work, 135, 138; experiments, 163; ion traps, 254–6; non-locality, 173; parallel universes, 193; photons, 259, 261, 263, 264, 265; quantum computation, 174, 201–2, 216, 239, 249, 263–5, 267; SQUIDs, 239–40; telepathy, 231; teleportation, 222, 256–7; term, 133

  entropy, 124–6

  EPR puzzle: Aspect's work 170–1; Bell's work, 156, 158–9, 171; Bohm's work, 146–7, 159; origins, 142; paper, 143–5; Shimony's work, 162–3; teleportation, 256

  error correction, 221–3

  ETH (Eidgenössische Technische Hochschule), Zurich, 55, 71

  Everett, Hugh III, 184–6, 189, 191–2, 193

  Ewald, Peter Paul, 152

  experiment with two holes (double-slit experiment), 107–10; Copenhagen Interpretation, 107, 121; de Broglie's work, 137; Deutsch's work, 201; Everett's work, 193; experiments with larger molecules, 183–4; Feynman's work, 110–13; Many Worlds Interpretation, 197–8; Schrödinger's work, 122

  exponential growth, 92–3

  Falicov, Leo, 233

  FAPP (for all practical purposes): Bell's phrase, 106; Copenhagen Interpretation, 122, 145, 149; everyday computing, 197; experiment with two holes, 110–11; fungibility, 200; Multiverse, 208; SQUID rings, 239

  Fenson, Harry, 43

  Fermi, Enrico, 86

  fermions, 176

  Ferranti Mark I computer, 49–50

  Feynman, Melville, 99–100

  Feynman, Richard: childhood, 99–100; on digital Universe, 176; education, 100–2, 106, 113–14; on electron's self-interaction, 115–17; experiment with two holes, 107–13; Fredkin relationship, 130, 132; on IBM machines, 64–5; marriage, 103; Nobel Lecture, 115–16, 119; Nobel Prize, 103, 113, 119; on physical world, 179; at Princeton, 58, 60, 102–3, 116; Principle of Least Action, 117–18; on quantum computation, 122, 132–3; on quantum computers, 1–2, 133–4; war work, 103–4, 115; writings: “The Principle of Least Action in Quantum Mechanics,” 102–3, 110, 113–20; “Simulating Physics with Computers” lecture, 132–3, 178; Surely You're Joking, Mr. Feynman?, 58, 64–5; “There's Plenty of Room at the Bottom,” 94

  fiction, 200

  Fleming, John, 71

  Flowers, Thomas, 39–41, 42, 43, 44–5, 47, 72

  Fourier analysis, 207

  Fowler, Austin, 223

  Frankel, Stanley, 64–5

  Frankfort Arsenal, Philadelphia, 103

  Fredkin, Ed, 129–30, 132

  Fredkin gate, 130–1, 215, 228

  Freedman, Stuart, 167

  Frontiers magazine, 212

  Fry, Ed, 168

  Fuechsle, Martin, 93

  fungibility, 200–1

  G15, 48

  Gakushin University, Tokyo, 109

  GC&CS (Government Code and Cipher School), 24–5, 29

  GCHQ (Government Communications Headquarters), 44, 205, 209

  General Report on Tunny, 44

  Goldstine, Adele, 76, 79

  Goldstine, Herman, 68–9, 74–7, 79–82, 85

  Grangier, Philippe, 171

  Greenbaum, Arline, 103–4

  Gregory, James, 13

  Grover, Lov, 209

  Grover's algorithm, 209–10, 211–12

  Guinness Book of Records, 225

  Hamming code, 221–2

  Hanslope Park, 34

  Hardy, G. H., 18

  Haroche, Serge, 256, 259–62

  Heath Robinson ma
chine, 38–40, 41

  Heisenberg, Werner, 104–5, 115, 136, 140, 141, 149

  Hellman, Martin, 204

  Hensinger, Winfried, 219, 253, 254

  Herbert, Nick, 160

  Hermann, Grete, 140–2, 143, 156

  hidden variables theories: Bell's work, 137, 156–7, 161; Bohm's work, 145, 147–8, 149, 161; comparison with Copenhagen Interpretation, 139; de Broglie on, 137–8, 144–5; EPR paper, 162; Hermann's work, 140–2; Horne's work, 164; Pauli's view, 138; Shimony's work, 162, 164; von Neumann's view, 138, 139–40, 142, 145, 151

  Hilbert, David, 18, 19, 21, 22, 56

  Hiroshima bomb, 62

  Hitachi research laboratories, 109

  Hitler, Adolf, 35, 42–3, 57

  Hollenberg, Lloyd, 223

  Hollerith, Herman, 66–7, 68

  Holt, Richard, 165, 166, 167–8

  Home Guard, 31–2

  Horne, Michael, 164–6

  Houghton, Betty (née Bowden), 41–2, 44

  House Un-American Activities Committee, 148

  Hoyle, Fred, 87

  Hubble Space Telescope, 179

  Hubble Ultra-Deep Field, 179

  IBM (International Business Machines): Almaden Research Center, 223–5; computer development, 69; Difference Tabulator, 69; ENIAC, 75; Feynman's work, 103–4; Manhattan Project, 64–5; origins, 67; Physics of Information group, 227, 241; punched cards, 69, 75, 78; quantum technology, 241; von Neumann's consultancy, 81

  Imbert, Christian, 171

  infinity, 198–9

  Innsbruck, University of, 217

  input/output devices, 79

  interference: between histories, 201, 202; experiment with half-silvered mirrors, 195–6, 201; experiment with two holes, 108–9, 110, 111, 197–8, 201; of observer, 187, 192–3; parallel universes, 192–3, 196, 197–8; pilot wave, 137; quantum, 199, 201; quantum devices, 230, 235

  intuition, 88

  ion trap, 217–20, 227, 230, 252–4

  ions, 217

  Jauch, Josef-Maria, 155, 156

  Jehle, Herbert, 118

  Josephson, Brian, 230–4

  Josephson: devices, 234–5, 240; effect, 230, 233–5; junctions, 227, 232, 233

  Kasparov, Gary, 210–11

  Ketchen, Mark, 241

  King's College, Cambridge, 15, 17, 22, 24, 50

  Knill, Emanuel, 268

  Kocher, Carl, 164, 166

  Kovesi, Marietta, 57, 59

  Kürschák, Joseph, 55

  Laflamme, Raymond, 268

  Lagrangian function, 118

  Landauer, Rolf, 126, 127, 128

  Langevin, Paul, 72, 136

  Leggett, Tony, 235–9

  Lerner, Lawrence, 76

  light: direction of travel, 114–15; as wave, 178–9; see also photons

  linear optical computing, 263

  Lloyd, Seth, 178

  Los Alamos, 61–3, 78, 79, 103–4, 115, 146

  Lüders, Gerhard, 153

  Lyttleton, Raymond, 22

  McCarthy, John, 88

  McCarthy, Senator Joseph, 148

  Mach-Zehnder interferometer, 194, 195

  MacPhail, Malcolm, 24

  Madhava of Sangamagrama, 13

  magnetic tape and discs, 90

  magnetism, 250

  “majority voting” system, 83–4

  Manchester Baby, 49, 77, 91

  Manchester University, 47, 49

  Manchester University Mark I computer, 49

  Mandl, Franz, 154

  Manhattan Project, 61–5, 78, 146, 148

  Many Worlds Interpretation (MWI): Bell's work, 158, 174, 186; Deutsch's work, 191–2; Everett's work, 184, 186, 189, 191–2; Schrödinger's contribution, 189; wave function, 183

  Maryland, University of, 69, 256

  Mauchly, John, 74–5, 79, 81

  Maxwell, James Clerk, 116–17, 120

  measurement problem, 142–3, 183, 186, 187–9, 222

  Melbourne, University of, 223, 245

  memory: computer, 42, 46, 70, 79–80; quantum computer, 208, 246; RAM, 49, 73; quantum unit, 192; solid state devices, 90; storage, 93

  Merkle, Ralph, 204

  Mermin, David, 157, 158–9

  Michigan, University of, 254, 256

  Mind-Matter Unification Project, 231

  mirrors, half-silvered, 193–6, 198, 201, 255

  MIT: Feynman's career, 99, 100–2, 115, 132, 178; Fredkin's career, 130, 131; Haroche's career, 260; public key system, 204; Shannon's career, 125; Shimony's career, 162

  Monroe, Christopher, 220, 254

  Moore, Gordon, 90

  Moore School, University of Maryland, 69, 74–5, 78, 79, 80, 81

  Moore's Law, 90–1, 92, 93

  Morcom, Christopher, 14–15

  morphogenesis, 50–1

  Morse code, 26, 35

  multiplexing, 84

  Multiverse, 4, 196, 197, 199–201, 208, 223

  musical notes, computer programming, 50

  Nagasaki bomb, 63

  nanotechnology, 94

  National Defense Research Council (NDRC), 61

  National Institute of Standards and Technology (NIST), 220–1, 252

  National Physical Laboratory (NPL), 46, 48, 50

  Neddermeyer, Seth, 62

  Neumann, Michael, 54

  neutrons, 249–50

  New South Wales, University of, 245

  Newman, Max, 18, 21, 38, 40, 41, 49

  Newton's laws, 124, 125

  nitrogen-vacancy (N-V) centers, 248–9

  NMR (nuclear magnetic resonance), 224, 227, 244, 249–52, 267, 269–70

  no-cloning theorem, 222

  Nobel Prize: Anderson, 232–3; Bell's nomination, 174; de Broglie, 136; Dehmelt, 218; Einstein, 108; Feynman, 103, 113, 115, 119; Haroche, 256; Josephson, 230–2; Leggett, 235, 238; Townes, 166; Wineland, 252

  Noether, Emmy, 140

  non-locality: Aspect's work, 173; author's view, 189; Bell's work, 156, 159–60; de Broglie's work, 145; experiment with two holes, 109–10, 122; feature of the Universe, 173; Schrödinger's cat, 122

  NOT operation, 214–15

  NP-complete problems, 212–13, 214

  O'Brien, Jeremy, 263

  Official Secrets Act, 31

  Olympic Games (1948), 47–8

  Omni, 157

  Onnes, Kamerlingh, 232

  Oppenheimer, Robert, 145–6

  optical cooling, 217

  P problems, 212, 213

  Pan Jianwei, 259

  parallel worlds, 187–8, 193, 197, 198, 200

  Paris-South, University of, 171

  path integral approach, 103, 111–12, 113, 119

  Paul, Wolfgang, 219

  Pauli, Wolfgang, 138, 142, 149

  Peierls, Rudolf, 152, 153

  Penning, Frans Michel, 218

  Penrose, Oliver, 129

  Phillips, James, 233

  phosphorus atoms, 246–7

  photolithography, 219

  photons: Aspect's work, 171–2, 173; CHSH paper, 166; Clauser's work, 169; de Broglie's work, 136; detection of, 179; digitization, 176–7; discord, 269; energy of, 177; entanglement, 163, 256–7, 259; EPR experiment, 202; experiment with two holes, 108–9; Feynman's work, 118; gamma rays, 163; Horne's work, 164; ion traps, 254–5; Kocher and Commins's work, 164; Mach-Zehnder interferometer, 194–6; manipulation, 1, 93, 262; polarization of, 166, 167, 168–9, 171–2; quantum computing, 93; quantum dots, 227; quantum photonics, 262–6; spin state, 249; SQUIDs, 240–1; in superposition, 261–2; teleportation, 256–9, 263; trapped, 260–1

  Physical Review, 148, 149

  Physical Review Letters, 167

  Physics, 161

  Physics Letters, 234

  Physics Today, 233

  Pilot Ace, 48

  pilot wave, 137–8, 142, 148, 149, 154

  Pipkin, Frank, 165

  Planck, Max, 177

  Planck length, 177

  Planck's constant, 177

  Podolsky, Boris, 143, 146

/>   Post Office, 39, 45

  Princeton Institute for Advanced Study (PIAS): computer development, 83; Einstein's career, 58–9, 143; foundation, 57–8, 68; Turing's career, 24; von Neumann's career, 57, 59, 60, 68, 81, 83

  Princeton University: Bohm's career, 146, 148–9; Everett's career, 185, 192; Feynman's career, 102–3, 116; Office of Population Research, 60; Proctor Fellowships, 21–2; quantum dots, 242, 245; Shimony's career, 162; Turing's career, 18, 21–4, 34; Veblen's career, 68; von Neumann's career, 56–7, 79, 84

  probability: Copenhagen Interpretation, 106–7, 139; EPR paper on, 144; experiment with half-silvered mirrors, 195, 198, 201; experiment with two holes, 110–12, 198, 201; Feynman on, 118, 132; in fungible universes, 201; in parallel universes, 200; quantum computation, 215, 223, 241, 262–3; Schrödinger on, 188; von Neumann on, 85

  protons, 249–50

  Pryce, Maurice, 15

  punched cards, 64, 65–9, 78, 90

  quantization, 176–7

  quantum codes, 213, 222

  quantum computation: Bell's inequality, 133; Bell's theorem, 174; CNOT gate, 215, 216–17, 220–1, 262; codebreaking, 203; Deutsch's work, 175, 190; entanglement, 138, 174; error correction, 223; gateway to, 122–8; hidden variables theory, 138; limits of, 210–14; manipulating quantum entities in two states at the same time, 1; Multiverse, 200; NMR, 249–52; problems, 222; QIP, 262; quantum reality, 121–2

  quantum computers: already built, 223–5, 267–8; chess-playing, 211; codebreaking, 1, 205–6, 209, 213, 266; computing power, 4, 214; Deutsch's work, 192–3, 196–7, 200–2, 206, 208; development of, 173; Feynman's work, 133–4; future of, 225, 226, 241, 245, 252–3; Grover's algorithm, 209–10, 211; key criteria, 227–30, 240; limitations, 203, 210–14; logic gates, 214–16, 226; Multiverse and, 200–2, 208; non-locality, 110; nuclear spin, 246, 247; problems in building, 201, 202, 212, 214; quantum dots, 242–3; quantum photonics, 263–6; quantum switches, 3, 216; qubits, 3–4, 202, 222–3, 226; RSA algorithm, 205–6; Shor's algorithm, 206–8, 223; simulation, 132, 178, 179–80, 196–7, 210; size, 253; SQUIDs, 230, 239–40; teleportation, 258, 263; trapped ion technique, 219–20, 253–4, 263; uses of, 1–2

  quantum discord, 268, 269

  quantum dots, 227, 242–5

  quantum electrodynamics (QED), 119

  quantum entities, 1, 93–4, 104, 119, 222

  quantum gravity, 191

  Quantum Information Processing (QIP), 262

  quantum interference, 199, 201

  quantum leap, 218

  quantum mechanics, 93–5, 105–7

  quantum memory unit, 192

  quantum photonics, 262–6

  quantum physics, 104, 106, 118

  quantum simulators, 132

 

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