Let’s say that we have the following two qubits, Psi|Ψ> and Phi |Φ>. However, we need more qubits to do meaningful quantum computation. Inner Product, Outer Product, and Tensor Product It fulfills the normalization constraint, such that |α|²+|β|²=1 or α*α+β*β=1, where α, β ∈ ℂ². Α and β are the probability amplitudes while α* and β* are the complex conjugates of α and β, respectively. An analysis of the path integral approach to quantum theory motivates the hypothesis that two experiments with the same classical action should have dual ontological descriptions. The quantum state Psi (|Ψ>) is in the linear combination of |0> and |1> with the probability of being in state |0> is |α|², and the probability of being in state|1> is |β|². ![]() ![]() Indeed, a single quantum bit (qubit) is exciting with its nature of being in superposition. These are some of the basic mathematical foundations to understand quantum computation. In this follow-on article, we will discuss the inner product, outer product, and tensor product. We also discussed Bra-ket notation, Bloch sphere, along with the hybrid classical-quantum approach. ![]() In the first article, “ Qubit, An Intuition #1 - First Baby Steps in Exploring the Quantum World,” we discussed the intuition of a quantum bit (qubit) as a computing unit in a Quantum computer, in comparison to a binary digit (bit) in a Classical computer. Please refer to the previous article (published in July 12 2021), “ Qubit, An Intuition #1 - First Baby Steps in Exploring the Quantum World” for a discussion on a single qubit as a computing unit for quantum computation.įor an introductory helicopter view of the overall six articles in the series, please visit this link “ Embarking on a Journey to Quantum Computing - Without Physics Degree.” TL DR 2 qubits inner product, outer product, and tensor product in bra-ket notation, with examples.
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