D-Wave D-Wave Systems Inc.

Σχετικά έγγραφα
Non-Markovian dynamics of an open quantum system in fermionic environments

ΣΤΟΧΑΣΤΙΚΑ ΣΥΣΤΗΜΑΤΑ & ΕΠΙΚΟΙΝΩΝΙΕΣ 1o Τμήμα (Α - Κ): Αμφιθέατρο 4, Νέα Κτίρια ΣΗΜΜΥ Διαμόρφωση Γωνίας (Angle Modulation) - 3

Anti-aliasing Prefilter (6B) Young Won Lim 6/8/12

Lecture 12 Modulation and Sampling

6.003: Signals and Systems

Analysis of optimal harvesting of a prey-predator fishery model with the limited sources of prey and presence of toxicity

d dt S = (t)si d dt R = (t)i d dt I = (t)si (t)i

6.003: Signals and Systems. Modulation

Jesse Maassen and Mark Lundstrom Purdue University November 25, 2013

From the course textbook, Power Electronics Circuits, Devices, and Applications, Fourth Edition, by M.S. Rashid, do the following problems

3 Frequency Domain Representation of Continuous Signals and Systems

The Euler Equations! λ 1. λ 2. λ 3. ρ ρu. E = e + u 2 /2. E + p ρ. = de /dt. = dh / dt; h = h( T ); c p. / c v. ; γ = c p. p = ( γ 1)ρe. c v.

Radiation Stress Concerned with the force (or momentum flux) exerted on the right hand side of a plane by water on the left hand side of the plane.

LONGITUDINAL INSTABILITIES

Electronic Companion to Supply Chain Dynamics and Channel Efficiency in Durable Product Pricing and Distribution

(b) flat (continuous) fins on an array of tubes

ω = radians per sec, t = 3 sec

wave energy Superposition of linear plane progressive waves Marine Hydrodynamics Lecture Oblique Plane Waves:

The Student s t and F Distributions Page 1

( ) ( ) ( ) Fourier series. ; m is an integer. r(t) is periodic (T>0), r(t+t) = r(t), t Fundamental period T 0 = smallest T. Fundamental frequency ω

r t te 2t i t Find the derivative of the vector function. 19. r t e t cos t i e t sin t j ln t k Evaluate the integral.

X-Y COUPLING GENERATION WITH AC/PULSED SKEW QUADRUPOLE AND ITS APPLICATION

ΕΡΓΑΣΙΑ ΜΑΘΗΜΑΤΟΣ: ΘΕΩΡΙΑ ΒΕΛΤΙΣΤΟΥ ΕΛΕΓΧΟΥ ΦΙΛΤΡΟ KALMAN ΜΩΥΣΗΣ ΛΑΖΑΡΟΣ

The canonical 2nd order transfer function is expressed as. (ω n

Appendix. The solution begins with Eq. (2.15) from the text, which we repeat here for 1, (A.1)

BandPass (4A) Young Won Lim 1/11/14

ΣΤΟΧΑΣΤΙΚΑ ΣΥΣΤΗΜΑΤΑ & ΕΠΙΚΟΙΝΩΝΙΕΣ 1o Τμήμα (Α - Κ): Αμφιθέατρο 4, Νέα Κτίρια ΣΗΜΜΥ Διαμόρφωση Γωνίας (Angle Modulation) - 2

Fourier transform of continuous-time signals

GEEPLUS VM1614. Force (N) vs Displacement (mm) Peak. Max 'ON' time. Force. Model No. VM

Second Order Partial Differential Equations

IXGK64N60B3D1 IXGX64N60B3D1

Reminders: linear functions

Rektangulär fläns, Rectangular fin

( ) ( t) ( 0) ( ) dw w. = = β. Then the solution of (1.1) is easily found to. wt = t+ t. We generalize this to the following nonlinear differential

Monolithic Crystal Filters (M.C.F.)

6.4 Superposition of Linear Plane Progressive Waves

A Control Method of Errors in Long-Term Integration

= 0.927rad, t = 1.16ms

Χρονοσειρές Μάθημα 3

TRM +4!5"2# 6!#!-!2&'!5$27!842//22&'9&2:1*;832<

Space Physics (I) [AP-3044] Lecture 1 by Ling-Hsiao Lyu Oct Lecture 1. Dipole Magnetic Field and Equations of Magnetic Field Lines

ibemo Kazakhstan Republic of Kazakhstan, West Kazakhstan Oblast, Aksai, Pramzone, BKKS office complex Phone: ; Fax:

Reservoir modeling. Reservoir modelling Linear reservoirs. The linear reservoir, no input. Starting up reservoir modeling

Forced Pendulum Numerical approach

University of Washington Department of Chemistry Chemistry 553 Spring Quarter 2010 Homework Assignment 3 Due 04/26/10

Errata (Includes critical corrections only for the 1 st & 2 nd reprint)

ΕΙΣΑΓΩΓΗ ΣΤΗ ΣΤΑΤΙΣΤΙΚΗ ΑΝΑΛΥΣΗ

Fractional Calculus. Student: Manal AL-Ali Dr. Abdalla Obeidat

INDEX HOESUNG COIL PARTS

6.003: Signals and Systems. Modulation

ECE Spring Prof. David R. Jackson ECE Dept. Notes 2

Magnetically Coupled Circuits

Example Sheet 3 Solutions

5. Αυτεπαγωγή-Χωρητικότητα Inductance Capacitance

ECE 222b Applied Electromagnetics Notes Set 3a

Multimodal Oscillations: from Dopamine Neurons to Solid Fuel Combustion. Georgi Medvedev. Department of Mathematics, Drexel University

George S. A. Shaker ECE477 Understanding Reflections in Media. Reflection in Media

Breaking capacity: ~200kA Rated voltage: ~690V, 550V. Operating I 2 t-value (A 2 s) Power

4.4 Superposition of Linear Plane Progressive Waves

Second Order RLC Filters

Derivation of Optical-Bloch Equations

Το άτομο του Υδρογόνου

Dimensions in inches (mm)

2.019 Design of Ocean Systems. Lecture 6. Seakeeping (II) February 21, 2011

DiracDelta. Notations. Primary definition. Specific values. General characteristics. Traditional name. Traditional notation

ITU-R BT ITU-R BT ( ) ITU-T J.61 (

What happens when two or more waves overlap in a certain region of space at the same time?

Matrices and Determinants

Analiza reakcji wybranych modeli

Œ ˆ Œ Ÿ Œˆ Ÿ ˆŸŒˆ Œˆ Ÿ ˆ œ, Ä ÞŒ Å Š ˆ ˆ Œ Œ ˆˆ

D Alembert s Solution to the Wave Equation

Introduction to Time Series Analysis. Lecture 16.

!! " # $%&'() * & +(&( 2010

4.6 Autoregressive Moving Average Model ARMA(1,1)

ITU-R P ITU-R P (ITU-R 204/3 ( )

Key Formulas From Larson/Farber Elementary Statistics: Picturing the World, Second Edition 2002 Prentice Hall

UNIVERSITÀ DI PISA. Plane waves 07/10/2011 1

Motion of an Incompressible Fluid. with Unit Viscosity

The Early Universe Big Bang Cosmology: Einstein Universe Friedmann-Lemaître Universe Einstein-deSitter Universe

MULTILAYER CHIP VARISTOR JMV S & E Series: (SMD Surge Protection)

CONSULTING Engineering Calculation Sheet

Parametrized Surfaces

3.5 - Boundary Conditions for Potential Flow

If we restrict the domain of y = sin x to [ π, π ], the restrict function. y = sin x, π 2 x π 2

Solar Neutrinos: Fluxes

Coupling of a Jet-Slot Oscillator With the Flow-Supply Duct: Flow-Acoustic Interaction Modeling

Quartz Crystal Test Report

If we restrict the domain of y = sin x to [ π 2, π 2

SOLUTIONS TO MATH38181 EXTREME VALUES AND FINANCIAL RISK EXAM

Constitutive Relations in Chiral Media

First Sensor Quad APD Data Sheet Part Description QA TO Order #

Π Ο Λ Ι Τ Ι Κ Α Κ Α Ι Σ Τ Ρ Α Τ Ι Ω Τ Ι Κ Α Γ Ε Γ Ο Ν Ο Τ Α

Large deviations of the density and of the current in non equilibrium steady states

Review: Molecules = + + = + + Start with the full Hamiltonian. Use the Born-Oppenheimer approximation

Vol. 40 No Journal of Jiangxi Normal University Natural Science Jul. 2016

Χαρακτηρισµός Κυκλώµατος και Εκτίµηση Απόδοσης 2. Χαρακτηρισµός Κυκλώµατος

Lecture 2: Dirac notation and a review of linear algebra Read Sakurai chapter 1, Baym chatper 3

linear motions: surge, sway, and heave rotations: roll, pitch, and yaw

INDIRECT ADAPTIVE CONTROL

Example 1: THE ELECTRIC DIPOLE

Transcript:

D-Wave D-Wave sems Inc. Anaol Yu. mirnov D-Wave sems Inc. Vancouver Briish Columbia HE QUANUM COMPUING COMPANY M Decoherence and Noise Conrol in rongl Driven uperconducing Quanum Bis Collaboraion: M. Grajcar E. Il ichev A. Imalkov IPH Jena German M.H.. Amin A. Maassen van den Brink A. Zagoskin D-Wave sems Inc.

D-Wave D-Wave sems Inc. HE QUANUM COMPUING COMPANY M Ouline:. Quanum Brownian moion of a driven wo-sae ssem.. abi oscillaions and decoherence suppression in a superconducing flu qubi. 3. abi specroscop and noise manipulaion. 4. Conclusions.

& & & D-Wave D-Wave sems Inc. HE QUANUM COMPUING COMPANY M Qubi { } Hea bah Q Driving force FF cos Hamilonian and Heisenberg equaions: H Q F cos H Hea bah: Q F. cos Q F ϕ M i [ ] Q Q B cos [ ] Q Q χ" coh. θ. X E ± χ χ" ±. s A e / / / E E / /. c

D-Wave sems Inc. D-Wave sems Inc. HE QUANUM COMPUING COMPANY M Non-Markovian Heisenberg-Langevin equaions Flucuaion forces: [ ] [ ]. Q M d F Q M d F ϕ δ δ ξ ϕ δ δ ξ & & & [ ] [ ]. Q M d Q Q M d Q δ δ ξ δ δ ξ ξ ξ G.F. Efremov A.Yu. mirnov ov.phs. JEP 53 54798

D-Wave sems Inc. D-Wave sems Inc. HE QUANUM COMPUING COMPANY M Qubi wih hea bah no driving force : / e X X X [ ] [ ] cos cos / / / / e e e e Populaion difference: Evoluion of -polariaion: eq eq X anh X X Equilibrium relaaion and dephasing raes :

wih he frequenc: D-Wave D-Wave sems Inc. abi oscillaions of he ecied level populaion P Ec : and he damping rae P Ec X F HE QUANUM COMPUING COMPANY M Qubi wih hea bah and driving force. Eac resonance Weak qubi-bah coupling oaing Wave Approimaion : E E Γ <<. / e cos >>. P Ec.

D-Wave D-Wave sems Inc. HE QUANUM COMPUING COMPANY M abi oscillaions of he dipole momen a ero bias: wih he sead-sae -polariaion: Z χ" Γ e cos / e sin sin Z Z cos χ" and he addiional decoherence rae non-ero bias: Γ. A.Yu. mirnov Phs.ev. B 67 5543; Phs.ev. B 68 34543.

D-Wave D-Wave sems Inc. HE QUANUM COMPUING COMPANY M For he srongl driven qubi >> - abi oscillaions of boh populaion and -polariaion disappear for he same relaaion ime : Wihou he driving force: eq eq : defines a imescale for relaaion of populaion : defines a dephasing rae deca of a dipole momen.

D-Wave D-Wave sems Inc. HE QUANUM COMPUING COMPANY M abi oscillaions in a flu superconducing qubi. Quanum aes: L lef roaing curren righ roaing curren I I q uperconducing Loop: Macroscopic wo-level ssem I. Chiorescu e al. cience 99 869 3; ime domain Bias: e I q / π Φ Φ E. Il ichev e al. Phs. ev. Le. 99796 3. Frequenc domain /

Measuremens: Deca ime of abi oscillaions: τ abi 5ns elaaion ime of undriven qubi: eq τ rela 9 Dephasing ime of undriven qubi: abi oscillaions of upper level populaion. ns D-Wave D-Wave sems Inc. HE QUANUM COMPUING COMPANY M F eq τ ns ϕ π 6.6GH >> MH π I. Chiorescu e al. cience 99 869 3;

D-Wave D-Wave sems Inc. HE QUANUM COMPUING COMPANY M Deca rae of abi oscillaions: 9 s 5 3 elaaion rae of undriven qubi: eq 9 s 9 Dephasing ime of undriven qubi: eq s 9 eq 4.7 5.83 4.4. τ c Frequenc dispersion of he hea bah specrum τ c / π MH For he fla specrum i should be: fla 39.5ns / 3.8 Difference beween and fla poins o he decoherence suppression in 3.8 imes b eernal driving field

D-Wave D-Wave sems Inc. HE QUANUM COMPUING COMPANY M Much higher suppression of decoherence b he high-frequenc field - pin / irradiaed b circularl polaried ligh roaing magneic field: r r H elaaion rae a cos sin Q H B << 4χ" coh 4 " coh << 4 χ eq χ" A s e / c s A.Yu. mirnov Phs.ev.B 6 34 999

D-Wave D-Wave sems Inc. abi specroscop and noise manipulaion in a flu qubi coupled o a ank circui HE QUANUM COMPUING COMPANY M Qubi: Γ ank as a low-frequenc linear deecor of curren flucuaions in he qubi d d γ d d V >> ank: λ & γ L C E. Il ichev e al. Phs. ev. Le. 9 9796 3.

D-Wave D-Wave sems Inc. HE QUANUM COMPUING COMPANY M pecrum of volage flucuaions in he ank heor VQ k Peak value of he specrum a L q C I q Γ V ma γ ~ Γ Γ >> >> γ Direc deecion of radiaion a abi frequenc : F. γ << Γ A.Yu. mirnov Phs.ev.B 683454 3

D-Wave D-Wave sems Inc. HE QUANUM COMPUING COMPANY M pecrum of volage flucuaions in he ank eperimen Τ /π 6.84 MH Q Τ /γ Τ 85 L q 4 ph I q 5 na k -3 mk Decoherence imes:.5µs Jena/D-Wave.5µs Delf pecrum / VQ Peak value of he specrum as a funcion of HF ampliude F a differen HF power heor V ma / P / P P / P /

D-Wave sems Inc. D-Wave sems Inc. HE QUANUM COMPUING COMPANY M abi specroscop as a weak coninuous measuremen Measuremen-induced decoherence backacion of he ank on he qubi: << Γ < Γ Γ << γ 4 q q I L k γ γ Γ Γ ignal-o-noise raio: Γ Γ q q V VQ I L k γ abi specroscop is a weak quanum measuremen if: V C γ γ Inernal noise of he ank circui:

D-Wave D-Wave sems Inc. HE QUANUM COMPUING COMPANY M Conclusions. ecen measuremens of abi oscillaions in superconducing flu qubis have demonsraed a possibili o suppress decoherence and conrol a noise level in he flu qubis b appling a srong driving field.

2024 © DocPlayer.gr Πολιτική Απορρήτου | Όροι Χρήσης | Σχόλια