M06/11
... A duality quantum computer exploits the duality property that quantum systems can behave like both waves and particles. If a quantum system evolves undisturbed then it acts like a wave and when it is observed or measured it acts like a particle. Now a quantum wave ψ can be decomposed into parts usin ...
... A duality quantum computer exploits the duality property that quantum systems can behave like both waves and particles. If a quantum system evolves undisturbed then it acts like a wave and when it is observed or measured it acts like a particle. Now a quantum wave ψ can be decomposed into parts usin ...
“Mind the gap” Solving optimization problems with a
... Shor’s algorithm (and Grover’s, searching an unstructured data base of size N with ~√N operations rather than ~ N/2) is rather specialized. Would a quantum computer also be useful for more general problems, such as optimization problems, i.e. minimizing a function of N variables with constraints? Of ...
... Shor’s algorithm (and Grover’s, searching an unstructured data base of size N with ~√N operations rather than ~ N/2) is rather specialized. Would a quantum computer also be useful for more general problems, such as optimization problems, i.e. minimizing a function of N variables with constraints? Of ...
Collège de France abroad Lectures Quantum information with real
... A POVM on a system S in a Hilbert space (A) can always be reduced to a projective measurement in an auxiliary system belonging to another space (B), to which S is entangled by a unitary transformation. Let us associate to each element i of the POVM a vector |bi> of B, the |bi>’s forming an orthonorm ...
... A POVM on a system S in a Hilbert space (A) can always be reduced to a projective measurement in an auxiliary system belonging to another space (B), to which S is entangled by a unitary transformation. Let us associate to each element i of the POVM a vector |bi> of B, the |bi>’s forming an orthonorm ...
Codes and designs for quantum error correction
... is the minimum distance of the code and ensures that up to errors can be corrected. Analogously, an quantum error-correcting code of length , dimension , and distance encodes -qubit information into physical qubits and corrects up to errors on qubits. A fundamental fact in the quantum domain is that ...
... is the minimum distance of the code and ensures that up to errors can be corrected. Analogously, an quantum error-correcting code of length , dimension , and distance encodes -qubit information into physical qubits and corrects up to errors on qubits. A fundamental fact in the quantum domain is that ...
Resonances of the helium atom in a strong magnetic field
... investigations covered only much smaller parts of the spectrum compared to the case of the hydrogen atom and their accuracy was considerably poorer. At the end of the 1990s, sufficiently accurate and extensive data for the helium atom in the magnetic field regime 0 艋 B 艋 2.35⫻ 107 T 关14–17兴 and late ...
... investigations covered only much smaller parts of the spectrum compared to the case of the hydrogen atom and their accuracy was considerably poorer. At the end of the 1990s, sufficiently accurate and extensive data for the helium atom in the magnetic field regime 0 艋 B 艋 2.35⫻ 107 T 关14–17兴 and late ...
Quantum Emission from Two
... The discovery of Hawking radiation[1] has raised a longstanding puzzle: what happens to black holes once they’re done evaporating? There are at least two reasons why this problem is interesting. The first is general: the final stages of black hole evaporation typically involve physics near the Planc ...
... The discovery of Hawking radiation[1] has raised a longstanding puzzle: what happens to black holes once they’re done evaporating? There are at least two reasons why this problem is interesting. The first is general: the final stages of black hole evaporation typically involve physics near the Planc ...
Fundamental Mathematics of Consciousness
... A. Wheeler would hold) that without observation, quantum systems don’t even have any properties. As Wheeler (1981) stated, “no phenomenon is a phenomenon until it is an observed phenomenon”. As such, the observer’s choices play a fundamental role in the “external” reality that one observes. The obse ...
... A. Wheeler would hold) that without observation, quantum systems don’t even have any properties. As Wheeler (1981) stated, “no phenomenon is a phenomenon until it is an observed phenomenon”. As such, the observer’s choices play a fundamental role in the “external” reality that one observes. The obse ...