I am confused how to write matrix form for single and multiple qubits and especially with more than 1 qubits, its easier that if like |0> quantum states then canonical matrix form is (1,0) and |1> would be canonical form (0,1) and if linear form then both canonical form get in one matrix like first column is (0,1) then second column is (1,0) so how it works for multiple qubit ?
Hello, I think this information will be useful:
https://en.m.wikipedia.org/wiki/Quantum_gate
hi, following research paper will be useful:
Article Entanglement Classification of Four-partite States
Article Classification of the entangled states of 2 x L x M x N
Article Quantum State Concentration and Classification of Multiparti...
I gave an intro on the topic here: Thesis COMPLEXITY BOUNDS ON SOME FUNDAMENTAL COMPUTATIONAL PROBLEMS...
I hope you find it useful!
For N-qubit the matrix will be (2^N)X(2^N) matrix. For two qubit the matrix will be 4X4. For two qubits there are 4 possible states those are |00>, |01>,|10> and |11> and each state is represented by 4X1 column matrix.
|00>=(1,0,0,0)
|01>=(0,1,0,0)
|10>=(0,0,1,0)
|11>=(0,0,0,1)
The basis vectors are |0>=(0,1) and |1>=(1,0).
for multiqubits, you just need to calculate the direct product.
for example, if a multiqubits state can be expressed as |000...00001>, it means |0> direct product |0>...direct product |1>
details about direct product can be found here https://en.wikipedia.org/wiki/Direct_product
- Badges
- Science topic
- Similar topics
- Linguistics
- Composition Studies
- Writing