MyEntangled index: my suggested order of reading

TABLE OF CONTENT I. About me II. Study resources: What you should read, watch, and explore at the entrance of quantum computing III. Stories: My sharing about other events, and some anecdotes and thoughts about what I see, feel and experience in my current walk of life. IV. Quantum things 0. A no-science introduction to Quantum Information Introduction to quantum information theory 1.1. Fundamentals of Qubits 1.2 Quantum Measurement 1. ...

#project #Randomized Benchmarking

Randomized Benchmarking (Part 2): Protocols for standard and interleaved versions + Experiment with a realistic quantum device

Knowing the underpinnings of randomized benchmarking addressed in the last part, we first begin with the standard protocol. Standard RB is used to assess the error rate over gates of Clifford group with an assumption that these gates have the same error rate. After that, another improvement of the technique will be introduced, namely Interleaved Randomized Benchmarking. The upgraded version was proposed not to investigate the Clifford group as a whole, but restricted to one single kind of Clifford gate of our choice. ...

#Randomized Benchmarking

Randomized Benchmarking (Part 1): A fast, robust, and scalable assessment of Clifford gates

As you can see in the cover figure, quantum computing is just at the onset of its journey. There are tons of work to do before we can move to the next stage of quantum computing, quantum supremacy. Two pivotal constraints to the realization of any useful quantum processor are decoherence and the high error rate of quantum operators, or quantum gates experimentally. It’s been suggested that the probability of error per unitary gate should be less than $10^{-2}$ (better $10^{-4}$) for the outcome to be reliable. ...

#Literature #Error rate #Density Operator

Error rate vs Fidelity (Part 1): Unveil the mathematics behind quantum error rate

In the article of Bernsterin-Vazirani implementation, I’ve addressed one of the most crucial challenges of quantum computing. The field is yet to flourish because quantum gates aren’t constructed to be good enough. One major difference of quantum gates versus classical counterparts is that quantum gates have to be reversible, which means we’re able to retrieve a prior state of a qubit without loss of information. Scientists are now on their way to establish a proper scheme for building decent quantum gates. ...

#Mixed States #Density Operator

Mixed States and General Quantum Operations: A simple view on the framework of Quantum Mechanics

In this text I’ll do some review on the definition of quantum state and quantum measurement, which was introduced here, and reasonably expand the notions into the most general instances of quantum bits. Review Given a state $$|\psi\rangle = \sum_i \alpha_i |\varphi_i \rangle,$$ it’s possible to perform a Von Neumann measurement on the state’s space $\mathscr{H}$ with respect to the orthonormal basis $B = \{|\varphi_i \rangle\}$. The output would be a label $i$ with corresponding probability $|\alpha_i|^2$ and the system left in state $|\varphi_i\rangle$. ...