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What is Superposition?
Introduction to Quantum Computing
When vectors are expanded in the standard basis and it contains more than one non-zero component, that linear combination of the basis vectors are called a superposition.
This is written like α|0> +β|1> and this two-dimensional, complex vector is called a superposition state.
A special superposition state called the plus state is |+> = (1/√2)|0> + (1/√2)|1> as this is addition.
A special superposition state called the minusstate is |-> = (1/√2)|0> - (1/√2)|1> as this is subtraction.
References:
- Lecture 2 Notes:
https://csferrie.medium.com/introduction-to-quantum-computing-49b31b96e70f - Playlist: Lectures and Labs for Introduction to Quantum Computing:
https://www.youtube.com/playlist?list=PLtvBHm6EzL47oFXGRB7Oe-kfcn_0ZnJE2 - Qiskit:
https://qiskit.org