Quantum Error-Correction Codes on Abelian Groups
... a state of the form |t, where t ∈ G (bit has a similar meaning). Also let us remind that the standard basis of H is {|t : t ∈ G}. So for the given finite abelian group G, we have the following protocol. QKD protocol: CSSG codes 1: Alice creates n random check bits, a random m bit key k, and two ran ...
... a state of the form |t, where t ∈ G (bit has a similar meaning). Also let us remind that the standard basis of H is {|t : t ∈ G}. So for the given finite abelian group G, we have the following protocol. QKD protocol: CSSG codes 1: Alice creates n random check bits, a random m bit key k, and two ran ...
Mixed, pure, and entangled quantum states. Density matrix
... diagonal in some basis. The qubit states then evolves from a pure state into a mixed state. On the Bloch sphere this is seen as the disappearance of the components rx and ry , if the environment makes the density matrix diagonal in the z-direction. ...
... diagonal in some basis. The qubit states then evolves from a pure state into a mixed state. On the Bloch sphere this is seen as the disappearance of the components rx and ry , if the environment makes the density matrix diagonal in the z-direction. ...
Quantum Algorithms and Cryptography
... There is so much that we did not talk about… • quantum algorithms: simulating quantum systems, unstructured search, linear algebra, machine learning, topology… • quantum information theory: entropy, channels, coding, capacity, etc. for the setting of communicating quantum data (or classical data wit ...
... There is so much that we did not talk about… • quantum algorithms: simulating quantum systems, unstructured search, linear algebra, machine learning, topology… • quantum information theory: entropy, channels, coding, capacity, etc. for the setting of communicating quantum data (or classical data wit ...
Hadamard Gates - UW
... C-not Gates are one of the basic 2-qubit gates in quantum computing. C-not is short for controlled not, which means that one qubit (target qubit) is flipped if the other qubit (control qubit) is |1>, otherwise the target qubit is left alone. The mathematical representation of a C-Not Gate is below. ...
... C-not Gates are one of the basic 2-qubit gates in quantum computing. C-not is short for controlled not, which means that one qubit (target qubit) is flipped if the other qubit (control qubit) is |1>, otherwise the target qubit is left alone. The mathematical representation of a C-Not Gate is below. ...
