The Need for Structure in Quantum Speedups
... Conjecture 3 (Watrous 2002) R(f ) ≤ Q(f )O(1) for every partial function f : [M ]N → {0, 1, ∗} that is permutation-invariant. Let us make two remarks about Conjecture 3. First, the conjecture talks about randomized versus quantum query complexity, since in this setting, it is easy to find functions ...
... Conjecture 3 (Watrous 2002) R(f ) ≤ Q(f )O(1) for every partial function f : [M ]N → {0, 1, ∗} that is permutation-invariant. Let us make two remarks about Conjecture 3. First, the conjecture talks about randomized versus quantum query complexity, since in this setting, it is easy to find functions ...
Introduction to Quantum Information and Computation for Chemistry
... From quantum mechanics we learned that the evolution of any quantum system must be unitary. That is, suppose a quantum computation starts with an initial state |initial , then the final state of the computation |final must be the result of a unitary transformation U, which gives |final = U| ...
... From quantum mechanics we learned that the evolution of any quantum system must be unitary. That is, suppose a quantum computation starts with an initial state |initial , then the final state of the computation |final must be the result of a unitary transformation U, which gives |final = U| ...
Complementarity in Quantum Mechanics and Classical Statistical
... Roughly speaking, complementarity can be understood as the coexistence of multiple properties in the behavior of an object that seem to be contradictory. Although it is possible to switch among different descriptions of these properties, in principle, it is impossible to view them, at the same time, ...
... Roughly speaking, complementarity can be understood as the coexistence of multiple properties in the behavior of an object that seem to be contradictory. Although it is possible to switch among different descriptions of these properties, in principle, it is impossible to view them, at the same time, ...
The Physical World as a Virtual Reality
... Quantum mechanics and relativity theory are the crown jewels of modern physics because they have quite simply never been proved wrong. It all began with Maxwell's wave equations in the 1860s, followed by Planck's constant in 1900, Einstein's special relativity in 1905, general relativity in 1915, an ...
... Quantum mechanics and relativity theory are the crown jewels of modern physics because they have quite simply never been proved wrong. It all began with Maxwell's wave equations in the 1860s, followed by Planck's constant in 1900, Einstein's special relativity in 1905, general relativity in 1915, an ...
How Quantum Theory Helps us Explain
... ...theoretical explanations allow us to understand the world, not by showing its conformity to principles external to the theory, but by representing it in terms of the model the theory itself supplies. As we become aware of the resources of these representations, so we come to understand the pheno ...
... ...theoretical explanations allow us to understand the world, not by showing its conformity to principles external to the theory, but by representing it in terms of the model the theory itself supplies. As we become aware of the resources of these representations, so we come to understand the pheno ...
Rewriting measurement-based quantum computations with
... the pattern we can also relax the uniformity restriction and derive correctness proofs in cases where the choice of measurement is significant. The problem of producing a circuit equivalent to a given measurement-based quantum computation is of great importance. In [8], an automated translation has ...
... the pattern we can also relax the uniformity restriction and derive correctness proofs in cases where the choice of measurement is significant. The problem of producing a circuit equivalent to a given measurement-based quantum computation is of great importance. In [8], an automated translation has ...
Some Quantum Computational Circuits
... times you will each base state will be the same for a large number of runs. This is illustrated using the circle representation above. ...
... times you will each base state will be the same for a large number of runs. This is illustrated using the circle representation above. ...
Quantum Dot Computing Gates
... When a free electron is confined by a potential barrier, its continuous spectrum becomes discretized. In particular, the gap between two neighboring energy levels increases as the length where the free electron moves decreases. The similar thing happens to solid state. If the motion of electrons in ...
... When a free electron is confined by a potential barrier, its continuous spectrum becomes discretized. In particular, the gap between two neighboring energy levels increases as the length where the free electron moves decreases. The similar thing happens to solid state. If the motion of electrons in ...
Experimental one-way quantum computing
... IQOQI, Institute for Quantum Optics and Quantum Information, Austrian Academy of Sciences, Boltzmanngasse 3, 1090 Vienna, Austria ...
... IQOQI, Institute for Quantum Optics and Quantum Information, Austrian Academy of Sciences, Boltzmanngasse 3, 1090 Vienna, Austria ...
