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7 papers · 2 filters
Optimal Detection of Symmetric Mixed Quantum States
Yonina C. Eldar, Alexandre Megretski, George C. Verghese
We develop a sufficient condition for the least-squares measurement (LSM), or the square-root measurement, to minimize the probability of a detection error when distinguishing betw…
Exponential algorithmic speedup by quantum walk
Andrew M. Childs, Richard Cleve, Enrico Deotto +3
We construct an oracular (i.e., black box) problem that can be solved exponentially faster on a quantum computer than on a classical computer. The quantum algorithm is based on a c…
Using unitary operations to preserve quantum states in the presence of relaxation
Benjamin Recht, Yael Maguire, Seth Lloyd +2
When a quantum system interacts with an external environment, it undergoes the loss of quantum correlation (decoherence) and the loss of energy (relaxation) and eventually all of t…
Fidelity Decay Saturation Level for Initial Eigenstates
Yaakov S. Weinstein, Joseph V. Emerson, Seth Lloyd +1
We show that the fidelity decay between an initial eigenstate state evolved under a unitary chaotic operator and the same eigenstate evolved under a perturbed operator saturates we…
Diameters of Homogeneous Spaces
Michael Freedman, Alexei Kitaev, Jacob Lurie
Let G be a compact connected Lie group with trivial center. Using the action of G on its Lie algebra, we define an operator norm | |_{G} which induces a bi-invariant metric d_G(x,y…
Relative Frequency and Probability in the Everett Interpretation of Heisenberg-Picture Quantum Mechanics
Mark A. Rubin
The existence of probability in the sense of the frequency interpretation, i.e. probability as "long term relative frequency," is shown to follow from the dynamics and the interpre…