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References
1. Basic Quantum Algorithms.pdf
- "Quantum computing is evolving so quickly that forces us to revisit, rewrite, and update the basis of the theory. Basic Quantum Algorithms revisits the first quantum algorithms."
- qubit vs bit
- The basic memory unit of a classical computer is the bit, which assumes 0 or 1. Usually, the bit is implemented using two distinct voltages, following the convention that null or low voltage represents bit 0 and high voltage represents bit 1. To determine whether the output is bit 0 or 1 at the end of the computation, it is necessary to measure the voltage. The basic memory unit of a quantum computer is the qubit, which also assumes, at the end of the computation, 0 or 1. The qubit is implemented using an electric current in a small super- conductor, following the convention that clockwise current represents 0 and counter-clockwisecurrent represents 1, or the other way around. The difference from the classical device happensduring the computation since the qubit admits the simultaneous coexistence of 0 and 1. Dur-ing the computation, that is, before the measurement, the state of a qubit is represented by a norm-1 two-dimensional vector and the states of a qubit corresponding to 0 and 1 are |0i and |1i. The definition of state is a vector of norm 1 in a complex vector space endowed with the inner product presented in the previous Section.1 The state can be thought of as the “value” of the qubit before the measurement. Quantum coexistence is represented mathematically by a linear combination of orthonormal vectors as follows:
- For probability portion: !
- Most quantum algorithms analyzed in this work can be cast into the oracle-based framework.The query complexity of an algorithm based on an oracle or a black-box is the number of queries.It does not matter how difficult is to implement the oracle unless we aim to solve a practicalproblem. In practical problems, it is our task to implement the oracle, and then the cost of eachevaluation matters. Take Shor’s factoring algorithm as an example. The oracle in this case is ar-periodic function and our goal is to find r. We have seen that the function in Shor’s algorithmis the modular exponentiation, which can be implemented efficiently in terms of the input size using the repeated squaring method.
2. Educational Practices
- Defining the quantum workforce landscape- a review of global quantum education initiatives.pdf
- What is AQ and how will it change your world?
- Defining the quantum workforce landscape- a review of global quantum education initiatives.pdf
- Accelerating Quantum Computing Research.pdf
- https://learningjournals.co.uk/what-are-the-different-pedagogical-approaches-to-learning/
- High-Impact-Ed-Practices1.pdf
- https://stocks.apple.com/A6I-mirfmSN6XHYU7Wfv92g
- QIS-XML An Extensible Markup Language for Quantum Information Science.pdf
- PhysRevPhysEducRes.16.020131.pdf
- Quantum Computing Technology report.pdf
- Detection in Electrical Grids Using Quantum Annealing eon_dwave_weibnar_marina_fernandez.pdf
- Contextualiy in entanglement assisted
- https://www.jstor.org/stable/pdf/resrep26934.8.pdf?refreqid=fastly-default%3Ab5fc498801ec3637369f297493905a40&ab_segments=0%2FSYC-6704_basic_search%2Fcontrol&origin=search-results&acceptTC=1
- application in finance - https://arxiv.org/pdf/2012.03819.pdf
Main Citations
Extracting PDF Comments from pdfs
BasicQuantumAlgorithms.pdf
Quantum computing is evolving so quickly that forces us to revisit, rewrite, and update th basis of the theory. Basic Quantum Algorithms revisits the first quantum algorithms.
- highlighted by Shwetha Jayaraj at page 2 on BasicQuantumAlgorithms.pdf
The goal of this Chapter is to define the concepts of qubit, logic gate, and quantum circuit. Before that, we briefly review key facts of linear algebra [2, 64] using the Dirac notation fro the beginning.
- highlighted by Shwetha Jayaraj at page 7 on BasicQuantumAlgorithms.pdf
The coexistence of bits 0 and 1 cannot be implemented in a classical device, since it is not possible to have low and high voltage at the same time, as everyone knows. In quantum mechanics, it is hard to believe, it is possible to have a quantum system (usually microscopic) with low and high voltage at the same time. This coexistence can only be fully maintained if the quantum system is fully isolated from the surrounding macroscopic environment. When we measure the quantum system to determine the value of the voltage, the measuring device inevitably affects
- highlighted by Shwetha Jayaraj at page 9 on BasicQuantumAlgorithms.pdf
the voltage, outputting a stochastic result, which is a low or high voltage, similar to the classical bit. In other words, coexistence is only maintained when no one (and no thing) is trying to de termine whether the voltage is high or low. Note that quantum mechanics is a scientific theory, that is, its laws and results can be tested objectively in laboratorie
- highlighted by Shwetha Jayaraj at page 10 on BasicQuantumAlgorithms.pdf
4c. Quantum Programming Templates
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highlighted by Shwetha Jayaraj at page 29 on BasicQuantumAlgorithms.pdf 4c. Algorithms
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highlighted by Shwetha Jayaraj at page 60 on BasicQuantumAlgorithms.pdf 5. Applications Quantum Possibilities
High-Impact-Ed-Practices1.pdf
- highlighted by Shwetha Jayaraj at page 19 on High-Impact-Ed-Practices1.pdf
6.5 Learn with others 6.5 Learn with others 4d. DIY! Quantum Sample Codes
- highlighted by Shwetha Jayaraj at page 24 on High-Impact-Ed-Practices1.pdf 7. Discussion
PhysRevPhysEducRes.16.020131.pdf
- highlighted by Shwetha Jayaraj at page 1 on PhysRevPhysEducRes.16.020131.pdf 5. Applications Quantum Possibilities
- highlighted by Shwetha Jayaraj at page 10 on PhysRevPhysEducRes.16.020131.pdf
Standard graduate physics courses taken during the first years of a Ph.D. are seen as adequat preparation (“what I expect is a standard, graduate-leve physics knowledge,” including quantum mechanics electromagnetism, atomic physics, statistical mechanics) In addition to the specific domain knowledge gained ove the years of a Ph.D., the experience of doing research an developing one’s own project are key strengths of com pleting a Ph.D.
- highlighted by Shwetha Jayaraj at page 10 on PhysRevPhysEducRes.16.020131.pdf
QIS-XML An Extensible Markup Language for Quantum Information Science.pdf
- highlighted by Shwetha Jayaraj at page 10 on QIS-XML An Extensible Markup Language for Quantum Information Science.pdf
Quantum Computing Technology report.pdf
5. Applications Quantum Possibilities 5. Applications Quantum Possibilities
10. Conclusion 5. Applications Quantum Possibilities 4d. Probabilistic Answers 4c. Algorithms 5. Applications Quantum Possibilities