1. In this problem, let 1) 1 V30100) + 2 3 |01) + (10) + 30 V30 (11). 30 We wish to measure the leftmost qbit of this 2-qbit. (a) Compute the possible outcomes of this measurement and the probability of each outcome using a projection operator, similarly to the computation in Example 4.4 of the notes or the computation done in class on Wednesday February 3. Do not forget to state the subspaces V1, V2, ..., Vk that you are using for the measurement. (b) Compute the possible outcomes of this measurement and the probability of each outcome by factoring the tensor production, similarly to the computation in Examples 4.7, 4.8 or 4.9 of the notes. (c) Which technique do you prefer, and why? (There are no wrong answers here.) 1. In this problem, let 1) 1 V30100) + 2 3 |01) + (10) + 30 V30 (11). 30 We wish to measure the leftmost qbit of this 2-qbit. (a) Compute the possible outcomes of this measurement and the probability of each outcome using a projection operator, similarly to the computation in Example 4.4 of the notes or the computation done in class on Wednesday February 3. Do not forget to state the subspaces V1, V2, ..., Vk that you are using for the measurement. (b) Compute the possible outcomes of this measurement and the probability of each outcome by factoring the tensor production, similarly to the computation in Examples 4.7, 4.8 or 4.9 of the notes. (c) Which technique do you prefer, and why? (There are no wrong answers here.)