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:
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...
-
By how much does the density of air increase when it is compressed to half its volume?
-
What is the difference between a monochronic and a polychronic culture?
-
Toner Corporation computed the following taxable income and loss: 2020 taxable income, \(\$ 10,000\) and 2021 taxable loss, \(\$ 40,000\). At the end of 2021 , Toner made the following estimates:...
-
Slugger Corporation produces baseball bats for kids that it sells for $ 36 each. At capacity, the company can produce 50,000 bats a year. The costs of producing and selling 50,000 bats are as...
-
On July 1, 2015, Bob purchased a corporate bond with a face value of $45,000 and coupon rate of 5.0% compounded semi-annually. The bond matures in 20 years. On July 1, 2020, Bob decides to sell the...
-
The probability that a student receives an A in a course is 0.1. The probability that a student studies less than 30 hours per week is 0.503. The probability that a student studies less than 30 hours...
-
What is the functionality of an Assembler? Explain
-
Demonstrate the proposed IT solution's value to the organization about log 360 software. 1. Makes the organization less vulnerable to attacks. 2. Secure IT environment ensure smooth business...
-
(7) Let f(x) = esin(x2). Write down, but do not evaluate, an integral expression for the arclength of f(x) from x = = 4 to x = 7.
-
Riggs Company purchases sails and produces sailboats. It currently produces 1,200 sailboats per year, operating at normal capacity, which is about 80% of full capacity. Riggs purchases sails at $250...
-
What factors should be considered when determining the LRE? Support with research, legislation, and/or case law.
-
An annuity-immediate is paid monthly at a rate of $200,000 per annum for 12 years. The rate of interest is 6% per annum compounded semiannually in the first 4 years and 4% per annum convertible...
-
Please use EXCELLLLLLLLLLLL. to solve this Use solver to minimize the total costs. Round your answer to the nearest dollar. You run Merciete, a company selling manufactured homes. Your current...
-
What kind of financial pressures can an LBO cause?
-
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...
-
3. For many years, the jacket design for Webster's Ninth New Collegiate Dictionary featured a bright red background. The front was dominated by a "bull's-eye" logo. The center of the bull's-eye was...
-
4. Question: Hey, Paula," a pop hit that spent months on the music charts, was back on the radio 30 years later, but in a form the song's author never intended. Talk-show host Rush Limbaugh played a...
-
5. After Edward Miller left his job as a salesperson at the New England Insurance Agency, Inc., he took some of his New England customers to his new employer. At New England, the customer lists had...
Study smarter with the SolutionInn App