Mutually unbiased bases, orthogonal Latin squares, and hidden
... all the vectors from other bases. MUBs encapsulate the concept of complementarity in the quantum formalism. Although complementarity is at the heart of quantum physics, the question about the number of MUBs remains unanswered. Apart from being of foundational interest, MUBs find applications in quan ...
... all the vectors from other bases. MUBs encapsulate the concept of complementarity in the quantum formalism. Although complementarity is at the heart of quantum physics, the question about the number of MUBs remains unanswered. Apart from being of foundational interest, MUBs find applications in quan ...
Quantum Physics 2005 Notes-4 The Schrodinger Equation (Chapters 6 + 7)
... The general solution vs the specific case The free particle wave -2 • There are an infinite number of possible solutions to the free space Schrodinger equation. All we have found is the relation between the possible time solutions and the possible space solutions. • We need to give more information ...
... The general solution vs the specific case The free particle wave -2 • There are an infinite number of possible solutions to the free space Schrodinger equation. All we have found is the relation between the possible time solutions and the possible space solutions. • We need to give more information ...
Graph Coloring with Quantum Heuristics
... four values, 0,1,2,3, where 0 indicates the node is uncolored, and the other values denote the assignment of a specific color to the node. These values need two bits per node, for a total of qubits. E.g., with four nodes, the bitstring represents the state with node 1 uncolored, and nodes ...
... four values, 0,1,2,3, where 0 indicates the node is uncolored, and the other values denote the assignment of a specific color to the node. These values need two bits per node, for a total of qubits. E.g., with four nodes, the bitstring represents the state with node 1 uncolored, and nodes ...
Fermionic quantum criticality and the fractal nodal surface
... Hypothesis: phenomenology of fermionic matter can be classified on basis of nodal surface geometry and bosonic quantum dynamics. ...
... Hypothesis: phenomenology of fermionic matter can be classified on basis of nodal surface geometry and bosonic quantum dynamics. ...
Quantum computation with neutral atoms
... Back to the real world: What do we need to build a quantum computer? ...
... Back to the real world: What do we need to build a quantum computer? ...
Hidden symmetries in the energy levels of excitonic `artificial atoms`
... Here EX is the energy of an exciton in a given shell. This commutation relation implies a symmetry in the system which is not obvious and is therefore called ‘hidden symmetry’. Owing to the commutator, coherent multiplicative states |N. = (P+)N |0> of N electron–hole pairs are exact ground eigenstat ...
... Here EX is the energy of an exciton in a given shell. This commutation relation implies a symmetry in the system which is not obvious and is therefore called ‘hidden symmetry’. Owing to the commutator, coherent multiplicative states |N. = (P+)N |0> of N electron–hole pairs are exact ground eigenstat ...
AntalyaQuantumComputingTutorial
... most reliable encryption techniques are based upon one time pads whereby the encryption key is used for one session only and then discarded. Thus, there exists the need for reliable and effective methods for the distribution of the encryption keys. The problem rests on the physical difficulty to det ...
... most reliable encryption techniques are based upon one time pads whereby the encryption key is used for one session only and then discarded. Thus, there exists the need for reliable and effective methods for the distribution of the encryption keys. The problem rests on the physical difficulty to det ...
While the ramifications of quantum computers
... have steadily improved since computers were developed. Their efficiency, processing power, and speed have increased massively since their first development. There is a constant problem with computers, however: how they process information. No matter how fast it is, a computer must process things one ...
... have steadily improved since computers were developed. Their efficiency, processing power, and speed have increased massively since their first development. There is a constant problem with computers, however: how they process information. No matter how fast it is, a computer must process things one ...
Quantum key distribution
Quantum key distribution (QKD) uses quantum mechanics to guarantee secure communication. It enables two parties to produce a shared random secret key known only to them, which can then be used to encrypt and decrypt messages. It is often incorrectly called quantum cryptography, as it is the most well known example of the group of quantum cryptographic tasks.An important and unique property of quantum key distribution is the ability of the two communicating users to detect the presence of any third party trying to gain knowledge of the key. This results from a fundamental aspect of quantum mechanics: the process of measuring a quantum system in general disturbs the system. A third party trying to eavesdrop on the key must in some way measure it, thus introducing detectable anomalies. By using quantum superpositions or quantum entanglement and transmitting information in quantum states, a communication system can be implemented which detects eavesdropping. If the level of eavesdropping is below a certain threshold, a key can be produced that is guaranteed to be secure (i.e. the eavesdropper has no information about it), otherwise no secure key is possible and communication is aborted.The security of encryption that uses quantum key distribution relies on the foundations of quantum mechanics, in contrast to traditional public key cryptography which relies on the computational difficulty of certain mathematical functions, and cannot provide any indication of eavesdropping at any point in the communication process, or any mathematical proof as to the actual complexity of reversing the one-way functions used. QKD has provable security based on information theory, and forward secrecy.Quantum key distribution is only used to produce and distribute a key, not to transmit any message data. This key can then be used with any chosen encryption algorithm to encrypt (and decrypt) a message, which can then be transmitted over a standard communication channel. The algorithm most commonly associated with QKD is the one-time pad, as it is provably secure when used with a secret, random key. In real world situations, it is often also used with encryption using symmetric key algorithms like the Advanced Encryption Standard algorithm. In the case of QKD this comparison is based on the assumption of perfect single-photon sources and detectors, that cannot be easily implemented.