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Q1:3. A pendulum with length 1 is attached to the ceiling. It has an attached mass m. The robe is massless. We want to obta...See Answer
Q2:13.5** A bead of mass m is threaded on a frictionless wire that is bent into a helix with cylindrical polar coordinates ...See Answer
Q3:1. Solve the time-independent Shrodinger equation with appropriate boundary conditions for an infinite square well cente...See Answer
Q4:1) Normalize the following wave functions and evaluate the value of A. Sketch the probability density for each. (You can...See Answer
Q5:6. This problem will explore Blackbody radiation and its relationship with thermodynamics. As you may remember form clas...See Answer
Q6:4. The Foerster energy transfer rate, kr, between donor and acceptor fluorophores was determined to be the following in ...See Answer
Q7:3. Answer the following questions and be sure to show your work for each answer. • Identify the types and number of the ...See Answer
Q8:2. Given the 4 level photophysical-system mentioned during the lecture, with a singlet ground state, singlet excited sta...See Answer
Q9:Exercise 2 (16 points): Quantum Phase Estimation The phase estimation algorithm is a building block of many other quantu...See Answer
Q10:8.9 ** Consider two particles of equal masses, m₁ = m2, attached to each other by a light straight spring (force constan...See Answer
Q11:Pom the separation ro. 8.14*** Consider a particle of reduced mass μ orbiting in a central force with U = kr" where kn >...See Answer
Q12:8.18** An earth satellite is observed at perigee to be 250 km above the earth's surface and traveling at about 8500 m/s....See Answer
Q13:5. Calculate the line integral of the function v = x² + 2yz ŷ + y² 2 from the origin to the point (1, 1, 1) by three dif...See Answer
Q14:Task 1: Quantum Physics In this unit, you were introduced to and learned how to use the following equations: • Energy un...See Answer
Q15:7. (This is an optional question for bonus credit) Mixed unitary channels [6 points]. Prove that the channel in question...See Answer
Q16:6. Mixed unitary channels [8 points]. A channel is mixed-unitary if it can be expressed in terms of Kraus operators Ao, ...See Answer
Q17:5. Some mixed-state state distinguishing problems [8 points, 4 each]. Consider the following state distinguishing proble...See Answer
Q18:4. A particular class of quantum channels [12 points; 4 each]. Define the qubit-to-qubit channels XA and XB as where Ao ...See Answer
Q19:3. Detail about measurements associated with Kraus operators [8 points]. Prove that if matrices A₁, A2,..., Am are Kraus...See Answer
Q20:2. Action of unitary operations on the Bloch sphere [12 points; 4 each]. For every 2 x 2 unitary matrix U, the effect of...See Answer

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