Mary has a trit j = {0,1,2} and, based on j, sends a one-qubit state a|0>+B|1>...
Fantastic news! We've Found the answer you've been seeking!
Question:
![Mary has a trit j = {0,1,2} and, based on j, sends a one-qubit state a|0>+B|1> to John. John applies some](https://dsd5zvtm8ll6.cloudfront.net/si.experts.images/answers/2023/10/651df01446c71_819651df013d35ae.jpg)
Transcribed Image Text:
Mary has a trit j = {0,1,2} and, based on j, sends a one-qubit state a|0>+B|1> to John. John applies some n-qubit unitary U to (a|0>+ß|1>)|00...0> and performs a standard measurement to the resulting state. He obtains some x = {0,1}^n as an outcome. John applies a function f : {0,1}^n -> {0,1,2}> to x to get a trit. The scheme works if & only if, starting with any j = {0,1,2}, the resulting x satisfies f(x) = j. Prove that V0, V1, V2 are mutually orthogonal spaces, if for j = {0,1,2}, the space V is defined to be the span of all rows of U that are indexed by an element of set f^-1(j) ≤ {0,1}^n. (Note: Each row of matrix U is a 2^n-dimensional vector) input |0) ⠀ |0) DE U X1 → f(x1,x2,...,xn) = {0, 1, 2} E X2 ⠀ Xn Mary has a trit j = {0,1,2} and, based on j, sends a one-qubit state a|0>+B|1> to John. John applies some n-qubit unitary U to (a|0>+ß|1>)|00...0> and performs a standard measurement to the resulting state. He obtains some x = {0,1}^n as an outcome. John applies a function f : {0,1}^n -> {0,1,2}> to x to get a trit. The scheme works if & only if, starting with any j = {0,1,2}, the resulting x satisfies f(x) = j. Prove that V0, V1, V2 are mutually orthogonal spaces, if for j = {0,1,2}, the space V is defined to be the span of all rows of U that are indexed by an element of set f^-1(j) ≤ {0,1}^n. (Note: Each row of matrix U is a 2^n-dimensional vector) input |0) ⠀ |0) DE U X1 → f(x1,x2,...,xn) = {0, 1, 2} E X2 ⠀ Xn
Expert Answer:
Answer rating: 100% (QA)
The image contains a problem statement within the realm of quantum information theory specifically about the transmission of a trit using a quantum sy... View the full answer
Related Book For
Smith and Roberson Business Law
ISBN: 978-0538473637
15th Edition
Authors: Richard A. Mann, Barry S. Roberts
Posted Date:
Students also viewed these programming questions
-
Explain the utility of breakeven analysis, balanced scorecards, and discounted cash flow techniques in evaluating and tracking performance of an organization. provide also the reference you used.
-
Managing Scope Changes Case Study Scope changes on a project can occur regardless of how well the project is planned or executed. Scope changes can be the result of something that was omitted during...
-
The following additional information is available for the Dr. Ivan and Irene Incisor family from Chapters 1-5. Ivan's grandfather died and left a portfolio of municipal bonds. In 2012, they pay Ivan...
-
Tatum is a consultant at R.G. & Company (R.G.), a global consulting firm. She has enjoyed the past few years working at the company. As an ambitious person, she has been focusing on her long-term...
-
We know the clustering structure for the data in Example 10.7. Use results from Chapter 5 (assume one-stage cluster sampling) to estimate the proportion for each cell and margin in the 2Ã2...
-
A large lawn sprinkler with two identical arms is used to generate electric power by attaching a generator to its rotating head. Water enters the sprinkler from the base along the axis of rotation at...
-
a. Which of the following items are within tolerance? b. What is the percent accuracy by item? Part Shelf Inventory Within Number Count Record Difference % Difference Tolerance Tolerance? A 75 80 3%...
-
Bigdeal Corporation manufactures paper and paper products and is trying to decide whether to purchase and merge Smalltek Company. Smalltek has developed a process for manufacturing boxes that can...
-
Toxaway Company is a merchandiser that segments its business into two divisionsCommercial and Residential. The companys accounting intern was asked to prepare segmented income statements that the...
-
A beam ABCD with a vertical arm CE is supported as a simple beam at A and D (see figure). A cable passes over a small pulley that is attached to the arm at E. One end of the cable is attached to the...
-
1) Had this been a Canadian case - what compensation strategies, policies and practices =salary, incentive plans, and benefitswould you recommend to the Canadian Soccer Federation to produce the...
-
a) Provide a brief background of the Honda Motor company and industry, then identify a current ethical issue that has an effect on the industry that the Honda Motor company is operating in. 1b)...
-
If you own, did you consider leasing? If yes, why did you choose a purchase over a lease? If you lease, why did you go with a lease? List the specific advantages you feel you gained by leasing. If...
-
If 5 people worked in a process for 8 hours, which included a 0.5 hour break, and they produced 900 units. What was the worker hours per unit? from below: 2.7 minutes 24 minutes 2.5 minutes 22.5...
-
12. Access the following PIDS using the scan tool and verify current input signal status and record the status below? PIDS APP1 APP2 ECT IAT MAF RPM TP1 TP2 VSS Signal Status WSM Specifications
-
With Twitter being on the verge of bankruptcy and undergoing mass resignation, what are some creative and relative directions managers of the social media platform could take to improve the brand?
-
Contribution Margin Format Example: Volume XX Sales XX Variable Costs (Listed) XX Variable Costs (Total) XX Contribution Margin XX Fixed Costs (Listed) XX Fixed Costs (Total) XX Operating Income XX...
-
What are the key elements of a system investigation report?
-
Discuss when a limited partner does or does not have the following rights or powers: (a) To assign his interest in the limited partnership, (b) To receive repayment of loans made to the partnership...
-
The Foreign Trade Antitrust Improvements Act of 1982 (FTAIA) excludes from the Sherman Acts reach much anticompetitive conduct that causes only foreign injury. It does so by setting forth a general...
-
An artist once produced a painting now called The Plains of Meudon. For a while, the parties in this case thought that the artist was Theodore Rousseau, a prominent member of the Barbizon school, and...
-
CI9.3. Describe off-balance-sheet financing.
-
C19.1. Explain what a default premium is.
-
CJ9.2. Whatis the objective in reformulating financial statements for credit analysis? How does the reformulation for credit analysis differ from that for equity analysis?
![Mobile App Logo](https://dsd5zvtm8ll6.cloudfront.net/includes/images/mobile/finalLogo.png)
Study smarter with the SolutionInn App