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1 8 W 11 W1101 /
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3 Twitter Keisuke
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5 ? 1687: ( ) Isaac Newton ( ) Equation of motion
6 ? 1687: ( ) 1873: ( ) James C. Maxwell ( ) Isaac Newton ( ) Equation of motion Maxwell equation
7 ? 1687: ( ) 1873: ( ) James C. Maxwell ( ) Isaac Newton ( ) Equation of motion 1900~ = & Maxwell equation Werner K Heisenberg ( ) Erwin Schrödinger ( ) (1926) (1925)
8 ? 1687: ( ) 1873: ( ) James C. Maxwell ( ) Isaac Newton ( ) Equation of motion 1900~ = & 1936: ( ) 1948: ( ) Maxwell equation Werner K Heisenberg ( ) (1925) Erwin Schrödinger ( ) (1926)
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10 Rolf Landauer ( ) 80s~ Information is physical 1 kt log2 File:Rolf_Landauer_2474.jpg
11 Rolf Landauer ( ) 80s~ Information is physical 1 kt log2 File:Rolf_Landauer_2474.jpg Richard P Feynman ( ) 1981(MIT) 1 st Symposium on Physics and Computation I m not happy with all the analyses that go with just the classical theory, because nature isn t classical. If you want to make a simulation of nature you d better make it quantum mechanical physics/laureates/1965/feynman-bio.html
12 Rolf Landauer ( ) 80s~ Information is physical 1 kt log2 File:Rolf_Landauer_2474.jpg Richard P Feynman ( ) 1981(MIT) 1 st Symposium on Physics and Computation I m not happy with all the analyses that go with just the classical theory, because nature isn t classical. If you want to make a simulation of nature you d better make it quantum mechanical! physics/laureates/1965/feynman-bio.html 1981(Texas) Physics and Computation Then you guys are using wrong physics ( ) David Deutsch (1953-)
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14 x 2 {0, 1} 0or i = 0i + 1i ( )
15 x 2 {0, 1} 0or i = 0i + 1i ( ) (no-cloning theorem)
16 x x 2 {0, 1} 0or i = 0i + 1i ( ) (no-cloning theorem) ( ) 00i + 11i Alice i = p 2 y y Bo
17 量子エレクトロニクス Nobel Prize 2012: Controlling individual quantum systems cavity-qed 光子の状態操作 非破壊測定 Gleyzes, Sebastien, et al. "Quantum jumps of light recording the birth and death of a photon in a cavity." Nature (2007) Serge_Haroche S. Haroche trapped ions イオンの状態操作 量子演算 details.cfm?imageid=576 D. Winland
18 NP! (braid) ( SAT, traveling salesman,. Jones BQP (quantum polynomial time) BQP P! (polynomial time)! Jones/Tutte [Aharonov et al. 07] [Cuevas et al. 11; Iblisdir et al. 13; Matsuo-KF-Imoto 14]
19 ? n i = X 2 n x 1,...x n c x1,...,x n x 1,...,x n i
20 ? n i = X 2 n x 1,...x n c x1,...,x n x 1,...,x n i NP-hard problems can be solved efficiently by ideal analog computer. A Schönhage On the power of random access machines. ICALP, 520 (1979).
21 ? n i = X 2 n x 1,...x n c x1,...,x n x 1,...,x n i NP-hard problems can be solved efficiently by ideal analog computer. A Schönhage On the power of random access machines. ICALP, 520 (1979). minimal surface calculation by soap bubble
22 ? All papers on quantum computing should carry a footnote: n i = X This 2 n proposal, like all proposals for quantum computation, relies c x1,...,x on n x speculative 1,...,x n i technology, does not in xits 1,...x current n form take into account all possible sources of noise, unreliability and manufacturing error, and probably will not work. (S. Lloyd Nature (1999)) NP-hard problems can be solved efficiently by ideal analog computer. Rolf A Schönhage On the power of random access machines. ICALP, 520 (1979). minimal surface calculation by soap bubble
23 History of Reliable classical computation
24 History of Reliable classical computation EDVAC: Electric discrete variable automatic computer
25 History of Reliable classical computation EDVAC: Electric discrete variable automatic computer For the recognition and correction of such malfunctions intelligent human intervention will in general be necessary.! by J. von Neumann (1945) First draft of a report on the EDVAC
26 History of Reliable classical computation EDVAC: Electric discrete variable automatic computer For the recognition and correction of such malfunctions intelligent human intervention will in general be necessary.! by J. von Neumann (1945) First draft of a report on the EDVAC ten years later NANDmultiplexing J. von Neumann (1956) Probabilistic logics and the synthesis of reliable organisms from unreliable components
27 -decoherence- Environment i = 0i + 1i quantum superposition
28 -decoherence- Environment 0i or 1i classical mixture
29 -decoherence- Environment 0i or 1i classical mixture Can we correct errors, due to the loss of information, on quantum information? No-cloning theorem: quantum information cannot be copied
30 Not copy quantum information but entangle it with many qubits in such a way that quantum information is protected! 0 L L faculty/shor-peter-williston Peter Shor encode C 2 C 2 C 2 C 2 recovery x I I quantum! error! noise ( x I I ) correction?( ) syndrome measurement 14
31 noise threshold! (error rate per gate) Aharonov & Ben-Or;! Kitaev; Knill, Laflamme & Zurek Preskill Steane Steane! ~0.1% Knill ~1% ! 2003! 2002! KF & K.Yamamoto ~5%! PRA (R) (2010);! PRA (2010);! PhD thesis
32 noise threshold! (error rate per gate) Aharonov & Ben-Or;! Kitaev; Knill, Laflamme & Zurek 2002! Preskill Steane Steane! ~0.1% 2003! Knill ~1% ! Svore et al.! Nearest-neighbor in 2D KF & K.Yamamoto ~5%! PRA (R) (2010);! PRA (2010);! PhD thesis A. Fowler et al. ~1% Raussendorf et al. ~0.75%! Nearest-neighbor in 2D
33 noise threshold! (error rate per gate) Aharonov & Ben-Or;! Kitaev; Knill, Laflamme & Zurek 2002! Preskill Steane Steane! ~0.1% 2003! Knill ~1% ! Svore et al.! Nearest-neighbor in 2D KF & K.Yamamoto ~5%! PRA (R) (2010);! PRA (2010);! PhD thesis A. Fowler et al. ~1% Raussendorf et al. ~0.75%! Nearest-neighbor in 2D Stephens et al.! Nearest-neighbor in 1D
34 noise threshold! (error rate per gate) Aharonov & Ben-Or;! Kitaev; Knill, Laflamme & Zurek 2002! Preskill Steane Steane! ~0.1% 2003! Knill ~1% Dowson, Nielsen nondeterministic gate! ps ~1/ ! Svore et al.! Nearest-neighbor in 2D KF & K.Yamamoto ~5%! PRA (R) (2010);! PRA (2010);! PhD thesis A. Fowler et al. ~1% Raussendorf et al. ~0.75%! Nearest-neighbor in 2D Li et al. nondeterministic gate! KF&Y.Tokunaga ps ~0.1 Stephens et al.! Nearest-neighbor in 1D
35 noise threshold! (error rate per gate) Aharonov & Ben-Or;! Kitaev; Knill, Laflamme & Zurek 2002! Preskill Steane Steane! ~0.1% 2003! Knill ~1% Dowson, Nielsen nondeterministic gate! ps ~1/ ! Svore et al.! Nearest-neighbor in 2D KF & K.Yamamoto ~5%! PRA (R) (2010);! PRA (2010);! PhD thesis A. Fowler et al. ~1% Raussendorf et al. ~0.75%! Nearest-neighbor in 2D Li et al. nondeterministic gate! KF&Y.Tokunaga ps ~0.1 Stephens et al.! Nearest-neighbor in 1D
36 superconducting system: two electrons form a Cooper pair, and has a macroscopic quantum coherence 中村 蔡先 生 (NEC, RIKEN) Y. Nakamura et al (NEC), Nature 1999 flux qubit I. Chiorescu et al (Delft), Science 2003
37 superconducting system: two electrons form a Cooper pair, and has a macroscopic quantum coherence IBM (Watson Research Center) group: Universal Quantum Gate Set Approaching Fault-Tolerant Thresholds with Superconducting Qubits J. M. Chow et al., Phys. Rev. Lett gate fidelity: 95-98% 中村 蔡先 生 (NEC, RIKEN) Y. Nakamura et al (NEC), Nature 1999 flux qubit I. Chiorescu et al (Delft), Science 2003
38 superconducting system: two electrons form a Cooper pair, and has a macroscopic quantum coherence IBM (Watson Research Center) group: Universal Quantum Gate Set Approaching Fault-Tolerant Thresholds with Superconducting Qubits J. M. Chow et al., Phys. Rev. Lett gate fidelity: 95-98% 中村 蔡先 生 (NEC, RIKEN) Y. Nakamura et al (NEC), Nature 1999 flux qubit I. Chiorescu et al (Delft), Science 2003 UCSB J. Martinis s group: Superconducting quantum circuits at the surface code threshold for fault tolerance R. Barends et al., Nature 2014 [fidelities] single-qubit gate: 99.92% two-qubit gate: 99.4% measurement: 99%
39 Google
40 Google
41 Google
42 D-wave (1998) D-wave, Google
43 D-wave (1998) D-wave, Google!!! 10 8 UCSB, IBM, etc Quantum computer quest Nature (2014)
44 D-wave (1998) D-wave, Google!!! 10 8 UCSB, IBM, etc Quantum computer quest Nature (2014)!!! Microsoft etc
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47 最後に Nobel Prize 2012: Controlling individual quantum systems cavity-qed 光子の状態操作 非破壊測定 Gleyzes, Sebastien, et al. "Quantum jumps of light recording the birth and death of a photon in a cavity." Nature (2007) Serge_Haroche S. Haroche trapped ions イオンの状態操作 量子演算 details.cfm?imageid=576 D. Winland
48 最後に Nobel Prize 2012: Controlling individual quantum systems Dream or Nightmare cavity-qed the theorist s dream of a quantum 光子の状態操作 非破壊測定 computer would be angleyzes, experimentalist s nightmare Sebastien, et al. "Quantum jumps of light recording the birth and death of a photon in a cavity." Nature (2007) Serge_Haroche S. Haroche It will eventually happen using quantum principles to make a quantum computer that will actually have applications. trapped ions イオンの状態操作 量子演算 details.cfm?imageid=576 D. Winland
IntroductionToQuantumComputer
http://quantphys.org/wp/keisukefujii/?p=433 Twitter Keisuke Fujii@fgksk ? 1687: () Isaac Newton (1642-1727) http://www.newton.cam.ac.uk/art/portrait.html Equation of motion ? 1687: () 1873: () James C.
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22 Quantum error correction and its simulation 1135071 2011 3 1 4 i Abstract Quantum error correction and its simulation Hiroko Dehare Researches in quantum information theory and technology, that mix
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21 Quantum calculator simulator based on reversible operation
21 Quantum calculator simulator based on reversible operation 1100366 2010 3 1 i Abstract Quantum calculator simulator based on reversible operation Ryota Yoshimura Quantum computation is the novel computational
量子情報科学−情報科学の物理限界への挑戦- 2018
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QUANTUM COMPUTING AND THE ENTANGLEMENT FRONTIER QUANTUM COMPUTING AND THE ENTANGLEMENT FRONTIER The 25th Solvay Conference on Physics 9-22 October 2; arxiv:23.583 Quantum information science explores the
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Fig. 3 Flow diagram of image processing. Black rectangle in the photo indicates the processing area (128 x 32 pixels).
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30 The Recovery from Attention Deficit, Hyperactivity Disorders and Hyperkinetic Disorders - through the counsel ing for a Mother-- Hideo Tsujimura Nowadays,the troubles of the children who have ADHD (Attention-Deficit/Hyperactivity
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