IntroductionToQuantumComputer

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9 ? 1687: () Isaac Newton ( ) Equation of motion

10 ? 1687: () 1873: () James C. Maxwell ( ) Isaac Newton ( ) Equation of motion Maxwell equation

11 ? 1687: () 1873: () James C. Maxwell ( ) Isaac Newton ( ) Equation of motion 1900~ = & Maxwell equation Werner K Heisenberg ( ) Erwin Schrödinger ( ) (1925) (1926)

12 ( )? 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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15 Rolf Landauer ( ) 80s~ Information is physical 1 kt log2 File:Rolf_Landauer_2474.jpg

16 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

17 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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23 01 ψ = +

24 01 ψ = +

25 Nobel Prize 2012: Controlling individual quantum systems cavity-qed Serge_Haroche S. Haroche Gleyzes, Sebastien, et al. "Quantum jumps of light recording the birth and death of a photon in a cavity." Nature (2007) trapped ions details.cfm?imageid=576 D. Winland

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30 NP PSPACE A Schönhage On the power of random access machines. ICALP, 520 (1979). minimal surface calculation by soap bubble

31 minimal surface calculation by soap bubble NP PSPACE All papers A Schönhage on quantum On the computing power of random should carry a footnote: access This machines. proposal, ICALP, like 520 all (1979). proposals for quantum computation, relies on speculative technology, does not in its current form take into account all possible sources of noise, unreliability and manufacturing error, and probably will not work. (S. Lloyd Nature (1999)) Rolf

32 NP PSPACE A Schönhage On the power of random access machines. ICALP, 520 (1979). minimal surface calculation by soap bubble

33 NP PSPACE A Schönhage On the power of random access machines. ICALP, 520 (1979). minimal surface calculation by soap bubble [Shor95] fight entanglement with entanglement [Preskill97]

34 中村 蔡先 (NEC, RIKEN) flux qubit I. Chiorescu et al (Delft), Science 2003 Y. Nakamura et al (NEC), Nature 1999

35 IBM (Watson Research Center) group: Universal Quantum Gate Set Approaching Fault-Tolerant Thresholds with Superconducting Qubits J. M. Chow et al., Phys. Rev. Lett 中村 蔡先 (NEC, RIKEN) flux qubit I. Chiorescu et al (Delft), Science 2003 Y. Nakamura et al (NEC), Nature 1999 gate fidelity: 95-98%

36 IBM (Watson Research Center) group: Universal Quantum Gate Set Approaching Fault-Tolerant Thresholds with Superconducting Qubits J. M. Chow et al., Phys. Rev. Lett 中村 蔡先 (NEC, RIKEN) flux qubit I. Chiorescu et al (Delft), Science 2003 Y. Nakamura et al (NEC), Nature 1999 gate fidelity: 95-98% 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%

37 Google

38 Google

39 Google

40 UCSB(Martinis)+Google: Kelly et al., Nature 519, 66 (2015) Barends et al., Nature 508, 500 (2014) [fidelities] single-qubit gate: 99.92% two-qubit gate: 99.4% measurement: 99% Delft(QuTech)+Intel: Riste et al., Nat. Comm (2015) IBM: Chow et al., Nat. Comm (2015)

41 Nobel Prize 2012: Controlling individual quantum systems cavity-qed Serge_Haroche S. Haroche Gleyzes, Sebastien, et al. "Quantum jumps of light recording the birth and death of a photon in a cavity." Nature (2007) trapped ions details.cfm?imageid=576 D. Winland

42 最後に Nobel Prize 2012: Controlling individual quantum systems Dream or Nightmarecavity-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

Intro

Intro 8 W 11 W1101 / 1999-2002: (54 ) 2002-2006: 2006-2011: 2011-2013: 2013-: http://quantphys.org/keisukefujii/lecture.html keisuke.fujii@i.kyoto-u.ac.jp Twitter Keisuke Fujii@fgksk ? 1687: ( ) Isaac Newton

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