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Magnetic field sensing beyond the standard quantum limit using 10-spin NOON states Jones etc., arXiv:0811.4350v1 (2008) 22 Feb 2009 강병기.

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Presentation on theme: "Magnetic field sensing beyond the standard quantum limit using 10-spin NOON states Jones etc., arXiv:0811.4350v1 (2008) 22 Feb 2009 강병기."— Presentation transcript:

1 Magnetic field sensing beyond the standard quantum limit using 10-spin NOON states Jones etc., arXiv: v1 (2008) 22 Feb 2009 강병기

2 Contents Magnetic field sensing Many spin-entangled state: Spin NOON state Trimethylphosphite(TMP) Sensing procedure & result Sensitivity & error Discussion

3 Magnetic field sensing A single spin precess in magnetic field In rotating frame   where  =  H ext  phase shift  external field Many spins entangled state can acquire phase at greater rate and enhance sensitivity to the applied field

4 Spin-entangled state NOON State N-fold increase in phase: e iN  t Spin-flips : MSSM( )state  Ex. is one of five possible  Lopsidedness l : l=|p-q| for  l -fold increase in phase: e il  t

5 Trimethylphosphite( (CH 3 O) 3 P ) Star topology  distinguishable A, indistinguishable N Bs in NMR  1 central 31 P spin, 9 identical surrounding 1 H spin  lopsidedness l  for different gyromagnetic ratios for  For 1 H nucleus, 9.4-fold phase-enhancement

6 Sensing (N+1) spin-NOON state Fr0m ground state Applying Hadamard gate to A Applying C-NOT gate to B controlled by A : NOON state After some period T wait Applying C-NOT gate again

7 31 P NMR spectrum of TMP red: initial 31 P NMR NOON, MSSM are generated blue: 31 P NMR after evolving for time For 400  s, ~  change for NOON state  ~0.107  phase shift  ~3.13  T magnetic field detuning For MSSM state   MSSM ~ N C M  Lopsidedness l  =|9.4-2S| red: initial 31 P NMR NOON, MSSM are generated blue: 31 P NMR after evolving for time For 400  s, ~  change for NOON state  ~0.107  phase shift  ~3.13  T magnetic field detuning For MSSM state   MSSM ~ N C M  Lopsidedness l  =|9.4-2S|

8 31 P NMR spectrum of TMP Fourier transform with respect to T wait Freq., linewidth  <1 Accuracy increase with l 

9 Sensitivity Comparison with optical NOON state  Error: photon loss vs field noise in individual spin N dependent sensitivity limit  For Standard Quantum limit: ~N 1/2  For Heisenberg limit: ~N  Spin NOON limit: ~N 3/4

10 Improvements by DNP or algorithmic cooling Application for Spin amplification to detect single spin discussion

11 1:1 degassed solution of TMP and aceton-d 6 20 ˚C,  /2 pulse length 30  s for 31 P/ 1 H Spin-spin coupling J PH : 10.5Hz 31 P: T1=5.6s, T2=2.2s 1 H: T1=12.5s, T2=2.3s C-NOT gate:  1 H  /2 - spin echo length of 1/2J - 1 H  /2 condition & gate operation


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