scholarly journals Experimental investigation of joint measurement uncertainty relations for three incompatible observables at a single-spin level

2020 ◽  
Vol 28 (18) ◽  
pp. 25949
Author(s):  
K. Rehan ◽  
T. P. Xiong ◽  
L.-L. Yan ◽  
F. Zhou ◽  
J. W. Zhang ◽  
...  
Keyword(s):  
Experimental Investigation ◽  
Measurement Uncertainty ◽  
Uncertainty Relations ◽  
Joint Measurement ◽  
Single Spin ◽  
Spin Level ◽  
Incompatible Observables

scholarly journals Experimental investigation of the stronger uncertainty relations for all incompatible observables

2016 ◽  
Vol 93 (5) ◽  
Author(s):  
Kunkun Wang ◽  
Xiang Zhan ◽  
Zhihao Bian ◽  
Jian Li ◽  
Yongsheng Zhang ◽  
...  
Keyword(s):  
Experimental Investigation ◽  
Uncertainty Relations ◽  
Incompatible Observables

scholarly journals Verifying Heisenberg’s error-disturbance relation using a single trapped ion

2016 ◽  
Vol 2 (10) ◽  
pp. e1600578 ◽  
Author(s):  
Fei Zhou ◽  
Leilei Yan ◽  
Shijie Gong ◽  
Zhihao Ma ◽  
Jiuzhou He ◽  
...  
Keyword(s):  
Quantum Physics ◽  
Uncertainty Relations ◽  
Independent Manner ◽  
Trade Off ◽  
Single Spin ◽  
Spin Level ◽  
Lively Debate ◽  
Qubit Operations ◽  
Fundamental Limitation ◽  
Positive Operator Valued Measure

Heisenberg’s uncertainty relations have played an essential role in quantum physics since its very beginning. The uncertainty relations in the modern quantum formalism have become a fundamental limitation on the joint measurements of general quantum mechanical observables, going much beyond the original discussion of the trade-off between knowing a particle’s position and momentum. Recently, the uncertainty relations have generated a considerable amount of lively debate as a result of the new inequalities proposed as extensions of the original uncertainty relations. We report an experimental test of one of the new Heisenberg’s uncertainty relations using a single 40Ca+ ion trapped in a harmonic potential. By performing unitary operations under carrier transitions, we verify the uncertainty relation proposed by Busch, Lahti, and Werner (BLW) based on a general error–trade-off relation for joint measurements on two compatible observables. The positive operator-valued measure, required by the compatible observables, is constructed by single-qubit operations, and the lower bound of the uncertainty, as observed, is satisfied in a state-independent manner. Our results provide the first evidence confirming the BLW-formulated uncertainty at a single-spin level and will stimulate broad interests in various fields associated with quantum mechanics.

scholarly journals Entropic measurement uncertainty relations for all the infinite components of a spin vector

2020 ◽  
Vol 4 (5) ◽  
pp. 055003
Author(s):  
Alberto Barchielli ◽  
Matteo Gregoratti
Keyword(s):  
Measurement Uncertainty ◽  
Uncertainty Relations ◽  
Spin Vector

scholarly journals Colloquium: Quantum root-mean-square error and measurement uncertainty relations

2014 ◽  
Vol 86 (4) ◽  
pp. 1261-1281 ◽  
Author(s):  
Paul Busch ◽  
Pekka Lahti ◽  
Reinhard F. Werner
Keyword(s):  
Root Mean Square Error ◽  
Measurement Uncertainty ◽  
Mean Square Error ◽  
Root Mean Square ◽  
Uncertainty Relations ◽  
Mean Square

scholarly journals Sum uncertainty relations for arbitrary N incompatible observables

2015 ◽  
Vol 5 (1) ◽  
Author(s):  
Bin Chen ◽  
Shao-Ming Fei
Keyword(s):  
Uncertainty Relations ◽  
Incompatible Observables

scholarly journals Measurement uncertainty relations

2014 ◽  
Vol 55 (4) ◽  
pp. 042111 ◽  
Author(s):  
Paul Busch ◽  
Pekka Lahti ◽  
Reinhard F. Werner
Keyword(s):  
Measurement Uncertainty ◽  
Uncertainty Relations

REALISTIC SIMULATIONS OF SINGLE-SPIN MEASUREMENT VIA MAGNETIC RESONANCE FORCE MICROSCOPY

2005 ◽  
Vol 03 (supp01) ◽  
pp. 1-9 ◽  
Author(s):  
TODD A. BRUN ◽  
HSI-SHENG GOAN
Keyword(s):  
Magnetic Resonance ◽  
Thermal Noise ◽  
Quantum Information Processing ◽  
Nuclear Spins ◽  
Magnetic Resonance Force Microscopy ◽  
Force Microscopy ◽  
Single Spin ◽  
Structure Of Molecules ◽  
Spin Level ◽  
Back Action

The problem of measuring single electron or nuclear spins is of great interest for a variety of purposes, from imaging the structure of molecules to quantum information processing. One of the most promising techniques is magnetic resonance force microscopy (MRFM), in which the force between a spin and a small permanent magnet resonantly drives the oscillations of a microcantilever. Numerous issues arise in understanding this system: thermal noise in the cantilever, shot-noise and back-action from monitoring the cantilever's motion, spin relaxation, and interaction with higher cantilever modes. Detailed models of these effects allow one to assess their relative importance and the necessary improvements for sensitivity at the single-spin level.

scholarly journals Experimental Tradeoffs in Quantum Measurement: Uncertainty Relations, Weak Measurement and Quantum Metrology

2012 ◽  
Author(s):  
Aephraim Steinberg ◽  
Dylan Mahler ◽  
Lee Rozema ◽  
Ardavan Darabi ◽  
Amir Feizpour ◽  
...  
Keyword(s):  
Measurement Uncertainty ◽  
Quantum Measurement ◽  
Weak Measurement ◽  
Uncertainty Relations ◽  
Quantum Metrology
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