1suppose The Bell State 12 00 11 Is Measured In ✓ Solved

1. Suppose the Bell state 1/ √ 2 (|00 > +|11 >) is measured in {|+ >, |− >} basis. What is the measured output? 2. √ Suppose Alice and Bob initially share the Bell state 1/ 2 (|01 > +|10 >) and Alice has another qubit |Ψ >= a|0 > +b|1 >. Explain how Alice can teleport her qubit to Bob.

3.Design a full adder quantum circuit (you may use Toffoli gates). 4.Show that the the column vectors of the 2n dimensional Hadamard matrix (i.e., tensor product of n H’s) are orthonormal. Faculty of Science and Engineering SCHOOL OF MATHEMATICS AND COMPUTER SCIENCE Coursework Assessment Brief Module 7CC012 Module Leader Jeffrey Ting Semester Sem2 Year 2020/2021 Assessment Coursework % of module mark 50% Due Date Thu, 10 Jun 2021 at 14:00 Hand-in – what? Report Hand-in- where? Canvas Pass mark 50% Method of retrieval Resit submission will be available in the appropriate resit period Feedback Upload electronically Learning outcomes: Expertise of the specific nature of mobile application development Demonstrate advanced knowledge of, and be able to develop, user interfaces for mobile applications, be able to design and develop appropriate solutions.

Assessment The one of the two assessments for 7CC012 Mobile App Development consists of a Coursework-based submission, which accounts for 50% of the module marks. Deadline An archive of all of your work (source code, binary executable, supporting documents) must be submitted, as one zip file, via the 7CC012 Canvas Topic on or before Thu, 10 Jun 2021, at 14:00 . Details You are required to design and develop a mobile which functions as an offline blogging client. The application must meet the following requirements: 1. Accept text input for a blog item.

2. Managing blog items on the device. a. Create, edit, view and delete blog items. b. View individual blog items. c. View the current list of blog items. d.

Search for text within the blog items and display either the first matching item, or a list of matching blog items. e. Delete a single blog item. f. Select and delete a group of chosen blog items. 3. The individual blog item must have the following fields: a.

Title b. Date of blog item entry c. Main blog item body text d. Image 4. Must store the blog items in a database on the device.

5. Attach a photo or an image to a blog item, from the photo gallery and camera. 6. "Share" individual blog item (title, text and image) by email via the standard platform "Share" mechanism. 7.

All of the mobile app's functionality must be functional offline, i.e. when the mobile device is not connected to any network, except for the sharing via email part. 8. You can implement the mobile app using either Google Flutter, React Native, Xamarin, or Cordova. Any other alternative development technologies must be approved by the Module Leader beforehand. 9.

The mobile app code must be portable between Android and iOS, without major modifications. To do this assessment, students should: · Produce a project plan for the development of the app. · Produce Software Functional Specification Document from the User Requirements above, for the Mobile App. · Produce a Software Design Document in any standard design document format, e.g. UML, Flow Charts, etc., for the app. · Develop the app. Test all implemented functionality. Record and document your test results, as well as any major development decisions and issues. · Be ready and able to demonstrate the Mobile App and explain the code in an oral viva.

If you are unable to demonstrate and answer questions on your code satisfactorily, you will not pass the module. The supporting documents should be around 1000 words in length, and it should be submitted in either Microsoft Word or PDF format. The source code should be in the form of a zip file of your project folder. The source code will need to be well documented by comments. All work must be your own.

Any cheating, plagiarism or collusion will result in the student being referred to the Conduct and Appeals Unit. Any third-party source code, or library, or framework will need to be clearly identified, and justified, otherwise it will be considered to be plagiarism. Submission of work The completed work for assignments must be handed in on or before the due date. Students must keep a copy or backup of any assessed work that you submit. Failure to do so may result in students having to repeat that piece of work.

Electronic submission: This is normally done via Canvas. Any special instructions will be available within the assessment brief. Penalties for late submission of coursework Standard University arrangements apply. ANY late submission will result in the grade 0 NS being allocated to the coursework. Procedure for requesting extensions / mitigating circumstances This is done via eVision.

Further information can be found at Retrieval of Failure Where a student fails a module (less than 50% for postgraduate modules) they have the right to attempt the failed assessment(s) once, at the next resit opportunity (normally July resit period). If a student fails assessment for a second time they have a right to repeat the module. NOTE: Students who do not take their resit at the next available RESIT opportunity will be required to repeat the module. Return of assignments Assignments will be normally returned within three working weeks. If students have any questions regarding their feedback they normally have two working weeks from the date when receive their returned assessment and/or written feedback or receive their exam results to contact and discuss the matter with the lecturers.

Cheating Cheating is any attempt to gain unfair advantage by dishonest means and includes plagiarism and collusion. Cheating is a serious offence, and rigorous checks will be conducted on the work submitted. You are advised to check the nature of each assessment. You must work individually on this assessment. Plagiarism is defined as incorporating a significant amount of un-attributed direct quotation from, or un-attributed substantial paraphrasing of, the work of another.

Collusion occurs when two or more students collaborate to produce a piece of work to be submitted (in whole or part) for assessment and the work is presented as the work of one student alone. Indicative Marking Sheet/Criteria Note: Marks are not mechanically calculated but are a matter of academic judgement based on the University Performance Descriptors. Criteria Score Create, edit, view, and delete blog items. View individual blog items and lists of blog items. Delete single and groups of selected blog items, on the device.

Search and display matching blog items (50%) Store blog items in a database(or equivalent local storage) on the device. (10%) Attach photo or image to a blog item, from the photo gallery and camera. (10%) "Share" individual blog item content via the platform sharing mechanism. (10%) Supporting documentation including Project Plan, Specification Document, Software Design Document, and Test Results. (20%) App and code demonstration and Viva (mandatory when requested by the Module Leader) - Pass/Fail (Please note: If you don't attend a Viva if requested by the Module Leader, you will be recorded as Not Submitted for this assessment) Pass/Fail Mobile App successfully rebuilt independently from source code – Pass/Fail Pass/Fail Total Score (100%) 2 Faculty of Science and Engineering SCHOOL OF MATHEMATICS AND COMPUTER SCIENCE Report Assessment Brief Module 7CC012 Module Leader Jeffrey Ting Semester Sem2 Year 2020/2021 Assessment Report % of module mark 50% Due Date Thu, 10 Jun 2021 at 14:00 Hand-in – what?

Report Hand-in- where? Canvas Pass mark 50% Method of retrieval Resit submission will be available in the resit period Feedback Upload electronically Learning outcomes: Expertise of the specific nature of mobile application development Analyse, categorise and evaluate the challenges for mobile applications and be able to design and develop appropriate solutions. Assessment The first assessment for 7CC012 Mobile App Development consists of a Research-based Individual Report, which accounts for 50% of the module marks Deadline An electronic copy of your report must be submitted, as one Microsoft Word document, via the 7CC012 Canvas Topic on or before Thu, 10 Jun 2021, at 14:00 . Details Students are required to carry out individual research on a specific topic with the objective of writing a report on their findings.

Students should select one of the following topics and write a research-based report: 1. Mobile app security and vulnerabilities are increasing appearing in the media headlines. Discuss the current state of mobile app security and what steps can be introduced to improve the situation within the Mobile App Development process, the mobile platforms and within the app-store-ecosystem. 2. Discuss the evolution, the increasing performance, and the complexity of mobile computing platforms to date.

Compare and contrast the trends, and usage of mobile-apps and mobile platforms against the trends and usage of traditional desktop applications and desktop computer platforms. Discuss their growing or declining usage, similarities, differences, advantages and disadvantages and how this will impact Mobile App Development, as well as desktop application development in the future. 3. Cross-platform development for the leading mobile platforms is increasingly becoming a serious consideration within the mobile-app development world. Compare and contrast the leading technologies that are making this possible and discuss the implications this may have on the original single-platform native development tools and technologies.

4. Efficient and effective user-interfaces are of key importance in the small handheld smart devices. Discuss the factors that will impact on the effectiveness of mobile apps. Compare and contrast the user interface design considerations of mobile app and desktop applications. 5.

Individually proposed topics from students, subject to topic approval from Module Leader. To do this assessment, students should: · Research topic using academic sources · Analyse findings from your secondary research to identify the issues relevant to the topic · Discuss your findings in your own words in the report · Correctly reference and cite any sources used in the report using the Harvard Referencing System The report should be about 5000 words in length, and it should be presented in the usual report format. The main objective of this task is to demonstrate students' ability to carry out effective research task on the chosen topic using academic quality resources, to discuss the results of their findings and to properly reference the work.

Students may also use the internet for their research. However, research using sources entirely from the internet is not acceptable for this assignment and their work will be marked down accordingly. Students should concentrate research on sources of Academic quality. CC012 Mobile App Development Marking Criteria for Report Assessment Student Name Student Number Overall Mark (max 50) Literature Review 10 marks Referencing 10 marks Report Content and structure 80-100% An excellent, well-rounded, discussion of the topic. 9 or more sources cited correctly in text using Harvard format Reference List present and in alphabetical order.

All citations referenced and in correct Harvard format Bibliography present and in correct Harvard format Recommended report format used with logical approach that informs and enhances the reader’s understanding of the topic. Evidence of wide ranging reading and well developed coherent arguments. Excellent analysis and comprehensive discussion of topic Excellent clear explanation and summary of findings in own words covering all main points . Quotes only used where absolutely necessary to support arguments Excellent standard of English. Fluent writing style.

Grammar and spelling accurate. 70-79% All aspects of the topic have been discussed in some depth. 8 or more sources cited correctly in text using Harvard format Reference List present and in alphabetical order. All citations referenced and in correct Harvard format Bibliography present and in correct Harvard format Recommended report format used with logical approach that informs and enhances the reader’s understanding of the topic. Evidence of independent reading supporting arguments.

Excellent analysis and discussion of topic Excellent explanation and summary of findings in own words Quotes only used where absolutely necessary to support arguments Excellent standard of English. Fluent writing style. Grammar and spelling accurate. 60-69% A mainly descriptive account of the topic has been given 7 or more sources cited correctly in text using Harvard format Reference List present and in alphabetical order. All citations referenced and in correct Harvard format Bibliography present and in correct Harvard format Recommended report format used with logical approach that informs and enhances the reader’s understanding of the topic.

Clear evidence of reading outside the module list. Some excellent analysis and very good discussion of topic Some excellent explanation and summary of findings in own words Quotes only used where absolutely necessary to support arguments Excellent standard of English. Fluent writing style. Grammar and spelling accurate. 50-59% A constructive review of topic is presented.

6 or more sources cited correctly in text using Harvard format Reference List present and in alphabetical order. The majority of citations referenced and in correct Harvard format Bibliography present and in correct Harvard format Recommended report format used that is logically organised around topic. Very good analysis and discussion of topic Some evidence of reading outside the module list. Good attempt at explaining findings in own words Minimal quotes used, mainly to support arguments Good standard of English. Fluent writing style.

Grammar and spelling accurate. 40-49% The facts are presented; sources are limited but useable. 5 or more sources cited correctly in text using Harvard format Reference List present and in alphabetical order. Most citations referenced and/or a few errors in Harvard format Bibliography present and mainly in correct Harvard format Recommended report format used that demonstrates a reasonable organisation that follows the implied structure in assessment brief. Reading based on main texts or materials.

Satisfactory attempt at analysing and discussing topic Satisfactory attempt at explaining findings in own words Some reliance on quotes as a substitute for argument Reasonable standard of English. Fluent writing style. Grammar and spelling accurate 39-0% The topic has been mentioned cursorily and Over-reliance on a few sources. All sources cited in text but not always using correct Harvard format Reference List present and in alphabetical order. Some citations referenced and/or a few errors in Harvard format Bibliography present but some errors in Harvard format Recommended report format used that demonstrates a reasonable organisation that follows the implied structure in assessment brief.

Some evidence of understanding of basic concepts/issues. Content broadly relevant. Acceptable attempt at analysing and discussing topic Acceptable attempt at explaining findings in own words Over-reliance on quotes as substitute for argument Reasonable standard of English. Fluent writing style. Grammar and spelling accurate Marker’s Comments: [Type a quote from the document or the summary of an interesting point.

You can position the text box anywhere in the document. Use the Drawing Tools tab to change the formatting of the pull quote text box.] 7CC012 Mobile App Development Marking Criteria for the Report Assessment Submission of work The completed work for assignments must be handed in on or before the due date. Students must keep a copy or backup of any assessed work that you submit. Failure to do so may result in students having to repeat that piece of work. Electronic submission: This is normally done via Canvas.

Any special instructions will be available on the upload tag or within the assessment brief. Penalties for late submission of coursework Standard University arrangements apply. ANY late submission will result in the grade 0 NS being allocated to the coursework. Procedure for requesting extensions / mitigating circumstances This is done via eVision. Further information can be found at Retrieval of Failure Where a student fails a module (less than 50% for postgraduate modules) they have the right to attempt the failed assessment(s) once, at the next resit opportunity (normally July resit period).

If a student fails assessment for a second time they have a right to repeat the module. NOTE: Students who do not take their resit at the next available RESIT opportunity will be required to repeat the module. Feedback of assignments Feedback will be normally available within three working weeks of the submission deadline. If students have any questions regarding their feedback they normally have two working weeks from the date when receive their returned assessment and/or written feedback or receive their exam results to contact and discuss the matter with the lecturers. Cheating Cheating is any attempt to gain unfair advantage by dishonest means and includes plagiarism and collusion.

Cheating is a serious offence, and rigorous checks will be conducted on the work submitted. You are advised to check the nature of each assessment. You must work individually on this assessment. Plagiarism is defined as incorporating a significant amount of un-attributed direct quotation from, or un-attributed substantial paraphrasing of, the work of another. Collusion occurs when two or more students collaborate to produce a piece of work to be submitted (in whole or part) for assessment and the work is presented as the work of one student alone.

Paper for above instructions

Introduction

Quantum computing is an advanced computational paradigm that leverages quantum mechanics to process information in fundamentally different ways than classical computing. Important concepts within this field include quantum states, Bell states, quantum teleportation, and quantum gates. This report aims to explore some fundamental aspects of quantum computing, particularly focusing on the measurement of Bell states, the teleportation of qubits, the design of a full adder quantum circuit, and demonstrating the orthonormality of the column vectors of the Hadamard matrix.

1. Measuring the Bell State \( |\Phi^+\rangle = \frac{1}{\sqrt{2}} (|00\rangle + |11\rangle) \) in the \( \{ |+\rangle, |-\rangle \} \) Basis

The Bell state \( |\Phi^+\rangle = \frac{1}{\sqrt{2}} (|00\rangle + |11\rangle) \) is one of the four maximally entangled states that can be formed from two qubits. To measure this state in the basis \( \{ |+\rangle, |-\rangle \} \), where \( |+\rangle = \frac{1}{\sqrt{2}} (|0\rangle + |1\rangle) \) and \( |-\rangle = \frac{1}{\sqrt{2}} (|0\rangle - |1\rangle) \), we can express the Bell state in terms of the new basis.
1. The state \( |00\rangle \) can be written as:
\[
|00\rangle = |+\rangle|+\rangle + |+\rangle|-\rangle - |-\rangle|+\rangle - |-\rangle|-\rangle
\]
Therefore,
\[
|\Phi^+\rangle = \frac{1}{2} \left( |+\rangle|+\rangle + |+\rangle|-\rangle - |-\rangle|+\rangle - |-\rangle|-\rangle \right)
\]
2. When measuring the first qubit in the \( \{ |+\rangle, |-\rangle \} \) basis, the probabilities are given for different outcomes:
- The probability of measuring \( |+\rangle \) is \( \frac{1}{2} \).
- The probability of measuring \( |-\rangle \) is also \( \frac{1}{2} \).
Thus, on measuring the Bell state \( |\Phi^+\rangle \), the measured output can yield either \( |+\rangle \) or \( |-\rangle \) with equal probability \( \frac{1}{2} \).

2. Quantum Teleportation of a Qubit

Quantum teleportation is a process by which quantum information can be transmitted from one location to another without moving the qubit itself. In this scenario, Alice and Bob share the Bell state \( |\Psi\rangle = \frac{1}{\sqrt{2}} (|01\rangle + |10\rangle) \), and Alice has a qubit \( |\psi\rangle = a|0\rangle + b|1\rangle \) that she wishes to send to Bob.
The steps for Alice to teleport her qubit to Bob are as follows:
1. Prepare the Combined State:
The initial combined state can be expressed as:
\[
|\text{Total}\rangle = |\psi\rangle \otimes |\Psi\rangle = (a|0\rangle + b|1\rangle) \otimes \left(\frac{1}{\sqrt{2}}(|01\rangle + |10\rangle)\right)
\]
2. Entanglement Swapping and Measurement:
Alice performs the Bell-state measurement on her qubit and her portion of the entangled state. This results in one of the four possible Bell states, which then determines the state Bob will have.
3. Classical Communication:
Alice sends the results of her measurement (two classical bits) to Bob.
4. Bob’s Transformation:
Depending on Alice’s measurement result, Bob performs specific operations on his qubit to convert it to the state \( |\psi\rangle \). For example:
- If Alice measures \( |01\rangle \), Bob does nothing to his qubit.
- If Alice measures \( |10\rangle \), Bob applies an X-gate to his qubit.
Thus, the state \( |\psi\rangle \) has been effectively teleported to Bob.

3. Designing a Full Adder Quantum Circuit

A full adder circuit can be implemented using Toffoli gates and CNOT gates. A full adder computes the sum and carry output for three input bits: \( A, B, \text{ and Carry In (Cin)} \).

Quantum Circuit Design

1. Inputs:
- Input bits \( A \), \( B \), and \( C_{in} \).
2. Outputs:
- Sum \( S \) and Carry Out \( C_{out} \).

Circuit Implementation Steps

1. Use Toffoli Gates:
- Compute carry-out:
\[
C_{out} = A \cdot B + (A \oplus B) \cdot C_{in}
\]
- Using a Toffoli gate, the first Toffoli gate computes \( C_{out} \) from \( A \), \( B \), and \( C_{in} \).
2. Compute Sum:
- The sum can be computed with CNOT gates:
\[
S = A \oplus B \oplus C_{in}
\]
- Use CNOT gates to compute the final sum.
This results in a circuit that correctly calculates the sum and carry of the three bits.

4. Orthogonality of Hadamard Matrix Columns

The Hadamard matrix \( H_n \) for \( n \) qubits is defined recursively:
\[
H_n = \frac{1}{\sqrt{2}} \begin{pmatrix}
H_{n-1} & H_{n-1} \
H_{n-1} & -H_{n-1}
\end{pmatrix}
\]
To show that the columns of \( H_n \) are orthonormal, we need to demonstrate that:
1. The dot product of different columns is 0 (orthogonality).
2. The norm of each column is 1 (normalization).

Proof Sketch

Assuming the columns of \( H_{n-1} \) are orthonormal:
1. Columns of \( H_n \) are formed by adding and negating columns of \( H_{n-1} \).
2. The dot product of two different columns composed from \( H_{n-1} \) results in sums that cancel out due to symmetry.
Combining the two steps shows that the columns remain orthonormal, hence proving that every \( H_n \) maintains orthonormal columns.

Conclusion

This report delved into fundamental aspects of quantum mechanics, facilitating a deeper understanding of Bell states, quantum teleportation, and quantum gate functionalities. Quantum computing's unique properties have the potential to revolutionize computation, security, and information transfer in the future.

References

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