Quantum Computing Asked on January 3, 2022
Is it possible to perform an operation on two qubits with initial states as follows:
$$q_1: 1/sqrt(2)(|0rangle + exp(0.a_1a_2a_3)|1rangle)$$
$$q_2: 1/sqrt(2)(|0rangle + |1rangle)$$
To resultant state:-
$$q_1: 1/sqrt(2)(|0rangle + exp(0.a_1a_2)|1rangle)$$
$$q_2: 1/sqrt(2)(|0rangle + exp(0.a_3)|1rangle)$$
Without knowing the value of $a_3$. Where $a_1,a_2,a_3 ∈ [0, 1].$
The idea is to shift the phase of $q_1$ by $exp(-0.00a_3)$ and $q_2$ by $exp(0.a_3)$ with the unitary operation not being aware of the value of $a_3$.
No, it's not possible to extract digits of the phase like that. It would violate the Holevo bound. In general there's no way to "amplify" single small phase differences into big phase differences, because of linearity.
Answered by Craig Gidney on January 3, 2022
1 Asked on August 20, 2021 by r-w
2 Asked on August 20, 2021 by zzy1130
1 Asked on August 20, 2021 by konrad
error mitigation hadamard measurement random quantum circuit
4 Asked on August 20, 2021
kraus representation mathematics quantum operation textbook and exercises
1 Asked on August 20, 2021 by stinglikeabeer
0 Asked on August 20, 2021
measurement projection operator quantum operation textbook and exercises unitarity
1 Asked on August 20, 2021 by kianoosh-kargar
continuous variable density matrix quantum optics wigner function
3 Asked on August 20, 2021
1 Asked on August 20, 2021 by psanfi
0 Asked on August 20, 2021 by marsl
circuit construction complexity theory gate synthesis quantum gate
0 Asked on August 20, 2021 by callum
1 Asked on August 20, 2021 by user1271772
1 Asked on August 20, 2021
0 Asked on August 20, 2021 by sanchayan-dutta
1 Asked on August 20, 2021 by victory-omole
2 Asked on August 20, 2021 by el-mo
error correction fault tolerance stabilizer code terminology
2 Asked on August 20, 2021
noise physical realization superconducting quantum computing
2 Asked on August 20, 2021
3 Asked on August 20, 2021
Get help from others!
Recent Questions
Recent Answers
© 2023 AnswerBun.com. All rights reserved. Sites we Love: PCI Database, UKBizDB, Menu Kuliner, Sharing RPP