Two photons moving in opposite directions along the y-axis are in the entangled

Question

Two photons moving in opposite directions along the y-axis are in the entangled polarization state IV) (VV) IHH)), where V denotes vertical polarization relative to the 2-axis, and H denotes horizontal polarization relative to the 2-axis. The linear polarizations of the two photons are measured relative to different axes in the zz-plane. For photon 1, we use the axis na, whose direction is defined by 0 01, where 0 is the polar angle of spherical coordinates. For photon 2, we use the axis 2, whose direction is defined by 02. We define the following probabilities: Av is the probability that photon l gives vertical polarization relative to ni and photon 2 gives vertical polarization relative to n2. Pran is the probability that photon l gives horizontal polarization relative to n and photon 2 gives horizontal polarization relative to n2. VH is the probability that photon l gives vertical polarization relative to ni and photon 2 gives horizontal polarization relative to n is the probability that photon 1 gives horizontal polarization relative to ni and photon 2 gives vertical polarization relative to n2.

Explanation / Answer

Ans:- a local hidden variable theory is denoted as (LHV) of quantum properties mechanics (QM). we are assume the all actual natural processes in a local information & related to the correlations at the velocity of light. The hidden local variable of experimental to be uncontrollablerelation & parameters of the item. Those are many local hidden variable theories that can be bypass or related to the Bell's inequalitydue to some kind of loopholes for the process measurement.so we know the most important loophole is detection efficiency.

Quantum states LHV in explaint A, B for hidden state preparation process c by a hidden variable theory (LHVT) form equation P(V,H|A,B,c)=Sum{h}P(h|c)P(V|A,c,h)P(H|B,c,h) are probabilities to be measured the loacl outcome V,H on sub-system observable so our hidden variables are h.

3-observer Bell are inequality hidden violation on the three-qubit enlarge state

= 1/2 ( {VV} + {HH}) both polarization vertical & horizontal are related to be Z- axis. in above probability PVV , PHH , PVH ,PHV So our direction is defined as =12 and axis n1 and n2 . So we are suppose our polarization of photon I choose randomly in axis or xy plane. so our polar angel 1 = 0 deg 2 = 45 deg in the spherical coordinate. an second all are same but polar angel is 1 = 22.5deg 2 = -22.5 deg . so as per quantum mechanism power of the weak interaction between the hidden inequality state to be explain polarization by the variable phase . so the procedure that we used to calculated estimate it.

is the phase retardation =( 1 + 2 ) / 2 given LHV are inequality of quantum mechanical .  

out =   cos( /2) H + cos( /2 - ) V

is the phase difference of clock & antilock path. = (2 / ) d/n     , () = / cos + 0

By measuring PV and PH rule values of an quantum equations . for this equation we are use the polar angel 22.5 deg & -22.5 deg

PH() = IH cos2 ( / cos( - 0)) + H

PV() = Iv cos2 ( / cos( - 0)) + v

so that this equation approppriate inequality for the quantum mechanical assumtion for the hidden variable theory.

Related Questions

Navigate

• Browse (All)
• Browse T
• Subjects

---

---

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.