On Zurek`s Derivation of the Born Rule
... for i = j , and Eq. (1) follows. In spite of its mathematical elegance, Gleason’s theorem is usually considered as giving rather little physical insight into the emergence of quantum probabilities and the Born rule. Other attempts towards a consistent derivation of the Born probabilities have previ ...
... for i = j , and Eq. (1) follows. In spite of its mathematical elegance, Gleason’s theorem is usually considered as giving rather little physical insight into the emergence of quantum probabilities and the Born rule. Other attempts towards a consistent derivation of the Born probabilities have previ ...
Solving the quantum many-body problem via
... enough, the s-wave interactions among the halo atoms are minimal and therefore the expansion can be assumed to be ballistic). This means that we measure momentum correlations of individual atoms with full 3D resolution and thus our experiment can be regarded as a quantum manybody momentum microscope ...
... enough, the s-wave interactions among the halo atoms are minimal and therefore the expansion can be assumed to be ballistic). This means that we measure momentum correlations of individual atoms with full 3D resolution and thus our experiment can be regarded as a quantum manybody momentum microscope ...
Strong time operators associated with generalized
... of survival probability was pointed out by [Miy01], where the weak Weyl relation was introduced and then strong time operators were discussed. Moreover it was drastically generalized in [Ara05] and some uniqueness theorems are established in [Ara08]. This paper is inspired by [Miy01, Section VII] an ...
... of survival probability was pointed out by [Miy01], where the weak Weyl relation was introduced and then strong time operators were discussed. Moreover it was drastically generalized in [Ara05] and some uniqueness theorems are established in [Ara08]. This paper is inspired by [Miy01, Section VII] an ...
Self-assembled quantum dots
... errors. On the other hand even for a small grid step, comparable with the crystal lattice constant, the computational grid symmetry would be different from the lattice symmetry. In particular, for InAs or InP, it can be quite complicated zinc blende or wurtzite lattice symmetry. Further, we have see ...
... errors. On the other hand even for a small grid step, comparable with the crystal lattice constant, the computational grid symmetry would be different from the lattice symmetry. In particular, for InAs or InP, it can be quite complicated zinc blende or wurtzite lattice symmetry. Further, we have see ...
Quantum methods for clock synchronization: Beating the standard
... (laser) used to perform them, quantum states will also depend on this reference. Here, we will demonstrate how states (and the Bloch sphere) are defined relative to party P ’s clock. First we observe that the energy eigenstates |0i and |1i are defined the same for any party, independent of their clo ...
... (laser) used to perform them, quantum states will also depend on this reference. Here, we will demonstrate how states (and the Bloch sphere) are defined relative to party P ’s clock. First we observe that the energy eigenstates |0i and |1i are defined the same for any party, independent of their clo ...
7 Quantum Computing Applications of Genetic Programming
... The smallest unit of information in a quantum computer is called a qubit, by analogy with the classical bit. A classical system of n bits is at any time in one of 2n states. Quantum mechanics tells us, however, that we must think of a quantum system of n qubits as having a distinct probability of “b ...
... The smallest unit of information in a quantum computer is called a qubit, by analogy with the classical bit. A classical system of n bits is at any time in one of 2n states. Quantum mechanics tells us, however, that we must think of a quantum system of n qubits as having a distinct probability of “b ...
A parallel repetition theorem for entangled projection
... condition of spatial isolation. Under classical theory, isolated players are fully described by the functions that each apply to their respective question in order to determine their answer, and this interpretation leads to the classical value VAL of the game. In contrast, in quantum theory isolated ...
... condition of spatial isolation. Under classical theory, isolated players are fully described by the functions that each apply to their respective question in order to determine their answer, and this interpretation leads to the classical value VAL of the game. In contrast, in quantum theory isolated ...
Exact quantum query complexity
... EXACT2 on 3 bits. For the other functions on 3 bits (x1 ∧ (x2 ∨ x3 ) and (x1 ∧ x2 ) ∨ (x¯1 ∧ x¯2 ∧ x3 )) we also found explicit exact quantum query algorithms. This was via a somewhat painful process of manually rounding real-valued solutions to the SDP to produce rational, exact solutions. But coul ...
... EXACT2 on 3 bits. For the other functions on 3 bits (x1 ∧ (x2 ∨ x3 ) and (x1 ∧ x2 ) ∨ (x¯1 ∧ x¯2 ∧ x3 )) we also found explicit exact quantum query algorithms. This was via a somewhat painful process of manually rounding real-valued solutions to the SDP to produce rational, exact solutions. But coul ...
Do You Need to Believe in Orbitals to Use Them - Philsci
... have over wave-functions generated by configuration interaction techniques: orbital concepts capture some chemical information much more efficiently. For example, orbital models readily portray information about groups of similar molecules that a treatment with more accurate wave-functions derived ...
... have over wave-functions generated by configuration interaction techniques: orbital concepts capture some chemical information much more efficiently. For example, orbital models readily portray information about groups of similar molecules that a treatment with more accurate wave-functions derived ...
Sufficient Conditions for Efficient Classical Simulation of Quantum
... by making a measurement on the M output modes (see Fig. 1). The first condition is based on expressing the probability distribution of the measurement outcomes in terms of a PQD for the output state of the process and PQDs of the elements of the Positive-Operator-Valued Measure (POVM) that describe ...
... by making a measurement on the M output modes (see Fig. 1). The first condition is based on expressing the probability distribution of the measurement outcomes in terms of a PQD for the output state of the process and PQDs of the elements of the Positive-Operator-Valued Measure (POVM) that describe ...
An introduction to Quantum Complexity
... BQP is closed under complement BQP is closed under intersection (and union) ...
... BQP is closed under complement BQP is closed under intersection (and union) ...
Measurability of Wilson loop operators
... Our protocol for superluminal signaling is based on the observation that Wilson loop measurement causes Cheshire charge to be transferred from Alice’s flux tube to Bob’s. Cheshire charge, while conceptually elusive, is physically genuine and readily detected in principle. Our conclusion that Wilson ...
... Our protocol for superluminal signaling is based on the observation that Wilson loop measurement causes Cheshire charge to be transferred from Alice’s flux tube to Bob’s. Cheshire charge, while conceptually elusive, is physically genuine and readily detected in principle. Our conclusion that Wilson ...
Randomness in (Quantum) Information Processing
... quantum information processing, especially in cryptography. The accent is on production of high-quality randomness (randomness extraction), efficient usage of randomness (design of applications consuming as little randomness as possible), and role of weak randomness in applications - in what applica ...
... quantum information processing, especially in cryptography. The accent is on production of high-quality randomness (randomness extraction), efficient usage of randomness (design of applications consuming as little randomness as possible), and role of weak randomness in applications - in what applica ...
Bell's theorem
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Bell's theorem is a ‘no-go theorem’ that draws an important distinction between quantum mechanics (QM) and the world as described by classical mechanics. This theorem is named after John Stewart Bell.In its simplest form, Bell's theorem states:Cornell solid-state physicist David Mermin has described the appraisals of the importance of Bell's theorem in the physics community as ranging from ""indifference"" to ""wild extravagance"". Lawrence Berkeley particle physicist Henry Stapp declared: ""Bell's theorem is the most profound discovery of science.""Bell's theorem rules out local hidden variables as a viable explanation of quantum mechanics (though it still leaves the door open for non-local hidden variables). Bell concluded:Bell summarized one of the least popular ways to address the theorem, superdeterminism, in a 1985 BBC Radio interview: