The Learnability of Quantum States
... A “hidden-variable QC” could also do Grover search in ~n1/3 steps—but not faster! Almost the only model of computation I know that’s “slightly” more powerful than QC ...
... A “hidden-variable QC” could also do Grover search in ~n1/3 steps—but not faster! Almost the only model of computation I know that’s “slightly” more powerful than QC ...
Quantum gravity and consciousness, the most
... phenomena on area on quantum biology exploded over 1000. Tegmark [2] was disproved a long time ago. Quantum computers achieved mature age, and so do artificial intelligence and robotics. This helps at calculations and experiments in physics. ...
... phenomena on area on quantum biology exploded over 1000. Tegmark [2] was disproved a long time ago. Quantum computers achieved mature age, and so do artificial intelligence and robotics. This helps at calculations and experiments in physics. ...
Introduction to Quantum Information - cond
... Much of quantum information theory is driven by thought experiments which explore the capabilities, in principle, for quantum systems to perform certain tasks. A few of these are very famous, like quantum cryptography, and have in fact been turned into real experiments. I will explore in detail anot ...
... Much of quantum information theory is driven by thought experiments which explore the capabilities, in principle, for quantum systems to perform certain tasks. A few of these are very famous, like quantum cryptography, and have in fact been turned into real experiments. I will explore in detail anot ...
Document
... Approximation due to degree 2 polynomial kernel – calculate wup and wdown separately, then eliminate bottom 50% of features for each Stop when ROC score drops below 90% of original value on untouched test set ...
... Approximation due to degree 2 polynomial kernel – calculate wup and wdown separately, then eliminate bottom 50% of features for each Stop when ROC score drops below 90% of original value on untouched test set ...
Quantum Questions Inspire New Math
... space are classified by an integer, called the degree, that measures how often they wrap around. Finding the numbers of curves of a given degree is a famously hard problem, even for the simplest Calabi-Yau space, the so-called quintic. A classical result from the 19th century states that the number ...
... space are classified by an integer, called the degree, that measures how often they wrap around. Finding the numbers of curves of a given degree is a famously hard problem, even for the simplest Calabi-Yau space, the so-called quintic. A classical result from the 19th century states that the number ...
Presentation - Turing Gateway to Mathematics
... (iii) Do a quantum measurement: cannot read out much information but it can be (a small amount) of global info about all 2n values that’s hard to get classically (without evaluating lots of f values). Example: quantum computers are very good at efficiently recognising patterns in data encoded in qua ...
... (iii) Do a quantum measurement: cannot read out much information but it can be (a small amount) of global info about all 2n values that’s hard to get classically (without evaluating lots of f values). Example: quantum computers are very good at efficiently recognising patterns in data encoded in qua ...
Quantum Computing - Turing Gateway
... (iii) Do a quantum measurement: cannot read out much information but it can be (a small amount) of global info about all 2n values that’s hard to get classically (without evaluating lots of f values). Example: quantum computers are very good at efficiently recognising patterns in data encoded in qua ...
... (iii) Do a quantum measurement: cannot read out much information but it can be (a small amount) of global info about all 2n values that’s hard to get classically (without evaluating lots of f values). Example: quantum computers are very good at efficiently recognising patterns in data encoded in qua ...
7th Workshop on Quantum Chaos and Localisation Phenomena
... focused on the following topics: quantum chaos and non-linear classical systems, quantum and microwave graphs and billiards, atoms in strong electromagnetic fields, Anderson localisation, quantum chaos, quantum computing and physics of low dimensional systems. In the talks and poster presentations t ...
... focused on the following topics: quantum chaos and non-linear classical systems, quantum and microwave graphs and billiards, atoms in strong electromagnetic fields, Anderson localisation, quantum chaos, quantum computing and physics of low dimensional systems. In the talks and poster presentations t ...
Quantum simulators of lattice gauge theories
... are too big). Exceptions from this rule are possible for quantum simulators that exhibit novel, only theoretically predicted and not yet observed phenomena (simulating ≠ simulating and observing). IV. Quantum simulator should allow for broad control of the parameters of the simulated model, and for ...
... are too big). Exceptions from this rule are possible for quantum simulators that exhibit novel, only theoretically predicted and not yet observed phenomena (simulating ≠ simulating and observing). IV. Quantum simulator should allow for broad control of the parameters of the simulated model, and for ...
Problem 1. What is the wavelength of a hydrogen atom... sponding to the mean kinetic energy at thermal equilibrium at...
... Problem 1. What is the wavelength of a hydrogen atom moving with a velocity corresponding to the mean kinetic energy at thermal equilibrium at 20 degrees Centigrade? [2 points] Problem 2. If you rewrite the uncertainty relation for a free particle in terms of the uncertainty of its wavelength ∆λ rat ...
... Problem 1. What is the wavelength of a hydrogen atom moving with a velocity corresponding to the mean kinetic energy at thermal equilibrium at 20 degrees Centigrade? [2 points] Problem 2. If you rewrite the uncertainty relation for a free particle in terms of the uncertainty of its wavelength ∆λ rat ...
How Computer Science simplifies the understanding of Quantum Physics; resolves the
... Heisenberg uncertainty is such that expg →G & logG→g (as in a slide rule) i.e. the means by which exponential complexity may be optimally controlled, as illustrated in the next slide quantum phase θ coherence /entropy is not simply a measure of disorder but also the metric of physical complexity – l ...
... Heisenberg uncertainty is such that expg →G & logG→g (as in a slide rule) i.e. the means by which exponential complexity may be optimally controlled, as illustrated in the next slide quantum phase θ coherence /entropy is not simply a measure of disorder but also the metric of physical complexity – l ...
Entanglement verification with detection efficiency
... optical signals, which are naturally described in an infinite dimensional Hilbert space, to encode information. To measure optical signals, we tend to use threshold detectors, which do not provide any refined knowledge about the photon number of an incoming signal. Often, there is a detection effici ...
... optical signals, which are naturally described in an infinite dimensional Hilbert space, to encode information. To measure optical signals, we tend to use threshold detectors, which do not provide any refined knowledge about the photon number of an incoming signal. Often, there is a detection effici ...
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.