A diamond-spin laboratory holds copies of (so is the probability of Schmidt label )…

PHYSICS · Subjective · Fermi University Physics · Quantum Information & Technology · Quantum states, measurement and entanglement · Quantum states, measurement and entanglement

Quantum Information and Technology, Ch Entanglement as a resource

Problem

A diamond-spin laboratory holds n=20n=20 copies of 0.9 ∣00⟩+0.1 ∣11⟩\sqrt{0.9}\,|00\rangle+\sqrt{0.1}\,|11\rangle (so p=0.1p=0.1 is the probability of Schmidt label 11) and wants to concentrate them into Bell pairs. Someone argues: 'Alice's measurement of the number kk of 11s typically finds k=np=2k=np=2, so the maximally entangled block has dimension (202)=190\binom{20}{2}=190, giving a yield of log⁡2190=7.57\log_2190=7.57 ebits per trial.' Find the error in this reasoning, and calculate the correct expected concentration yield, to three significant figures, using the binomial distribution of kk.

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