Hi, Serious Science. I would like to share your video via the Facebook Video platform. Can I upload it as a Facebook Video and properly credit you? Thanks
You see the wave like nature of particles is more apparent as the mass decreases. Human hair is too heavy , you have to go down to the levels of electrons, and other subatomic particles.
Dose that mean the qcomputer calculates the two calculations seperatly and gives me back one result containing both solutions. And dose thet mean if I put in more calculations I get a result with all the solutions mixed together? If so can I refer from the mixed results the result of every single calculation? I thing I still don't understand how that works.
+Christoph Geske Your intuition is right-on-the-money, that often something we can get out of a quantum computation is a jumbled, yet highly-structured, collection of *all* the results that would have been produced by *every* input to the computation. Now, of crucial importance is that this jumble -- a quantum superposition of states -- is a very _fragile_ thing. Oftentimes, we can only measure it _once_, before all of its structure disappears and we are left with the one answer we measured. However, remember the _structure_ of the jumble: to elaborate on it, every answer (every "state" in the superposition) has a complex number associated with it. And we can apply further operations on these jumbles, and based on the values of the complex numbers on each state, the answers will recombine and merge in different ways (EDIT: And note that we can apply _operations_ like this as many times as we want, so long as we never actually _measure_ the resulting state. This is an important distinction and possible snagging point for comprehension: until we measure the jumble and force it to assume a coherent state, it is able to exist in a superposition of many states, and we are allowed to blindly apply operations to these superposed states to change them in interesting ways). This is what allows us to do useful work. Often, the goal of a quantum algorithm is to apply operations such that all but a few desirable ones of these states are made to _cancel out_ with one another; so that when we finally measure the state, what we get is precisely the answer that we want Because the quantum operations can perform these shufflings and recombinations on a massive scale, processing exponentially many complex amplitudes together in a short amount of time, quantum computations can buy us enormous computational power. Examples of problems where we know we can attain such an exponential speedup are factoring large numbers, quickly finding principal features in large clusters of points, and taking the fourier transforms of enormous signals (finding the periodicities, the key frequencies, within these signals). We can also gain smaller yet still significant gains in database search and other problems. It's truly an amazing field. :)
Wave-particle duality is not so enigmatic if you add the concept that the waves in question are WAVES OF PROBABILITY. Dr. Lloyd almost says this when he mentions locations of electrons, but then he backs away from going far enough: There is a PROBABILITY that the electron is at some point (e.g. "here") but this probability can fluctuate; if so, it fluctuates in a WAVY fashion. The electron doesn't turn into a wave, and there is no "duality" between the electron and its wave. The probability of finding that electron "here" or "there" is what does the waving! Meanwhile, the location of the eIectron is a quantum state, as is its spin, which is useful in quantum computing. Thus, in the equation for superposition of the spin-states of an electron, you may find up-spin multiplied by a probability P (by a probability amplitude to be exact, the square root) PLUS (+) down-spin multiplied by a probability amplitude, all divided by 2. And indeed if you measure the spin repeatedly, you will find up-spin 50% of the time and down-spin 50% of the time. Now it's possible, and at times critically important, to alter the probability amplitudes (as long as the sum of all P's is 100% [normalized]) so as to favor one direction of spin over the other. Then upon measurements the "wave" will have two unequal fluctuations, but it's the P's that have undulated.
QC occurs in nature,our five senses, our brain and all our cells have QC capabilities. Instead if semiconductor transistors with three terminals reading out 0 and 1, nature employs amplifiers with multiple terminals which can read out intermediate states, Qubits, occurring in nature. I wonder why Bell Laboratory doesn't study these systems in details.
""This is just weird and counterintuitive. There is no classical intuition that coresponds something like, socerball being here and there simultaneously even if messi can look like that every now and then"
"more impressive considering he said it in danish". Uh no - the guy was Danish. If an American scientist such as your good self said it in Danish, now that would be impressive.
Quantum fluctuations prove that quantum mechanical law is just a special case of a general law. In this case the complexity principle- even Alan Turing, Gödel, Hilbert, von Neumann and the like giants of computer revolution knew this as far as early 20th century.
Hi, Serious Science. I would like to share your video via the Facebook Video platform. Can I upload it as a Facebook Video and properly credit you? Thanks
This was quite amazing!!
I wonder if particle-wave duality would be able to describe his hair in windy conditions
Actually, yes! In the wind there is a wavy probability for where each hair is located.
You see the wave like nature of particles is more apparent as the mass decreases. Human hair is too heavy , you have to go down to the levels of electrons, and other subatomic particles.
very enlightening to say the least.
Dose that mean the qcomputer calculates the two calculations seperatly and gives me back one result containing both solutions. And dose thet mean if I put in more calculations I get a result with all the solutions mixed together? If so can I refer from the mixed results the result of every single calculation? I thing I still don't understand how that works.
+Christoph Geske
Your intuition is right-on-the-money, that often something we can get out of a quantum computation is a jumbled, yet highly-structured, collection of *all* the results that would have been produced by *every* input to the computation. Now, of crucial importance is that this jumble -- a quantum superposition of states -- is a very _fragile_ thing. Oftentimes, we can only measure it _once_, before all of its structure disappears and we are left with the one answer we measured.
However, remember the _structure_ of the jumble: to elaborate on it, every answer (every "state" in the superposition) has a complex number associated with it. And we can apply further operations on these jumbles, and based on the values of the complex numbers on each state, the answers will recombine and merge in different ways (EDIT: And note that we can apply _operations_ like this as many times as we want, so long as we never actually _measure_ the resulting state. This is an important distinction and possible snagging point for comprehension: until we measure the jumble and force it to assume a coherent state, it is able to exist in a superposition of many states, and we are allowed to blindly apply operations to these superposed states to change them in interesting ways). This is what allows us to do useful work. Often, the goal of a quantum algorithm is to apply operations such that all but a few desirable ones of these states are made to _cancel out_ with one another; so that when we finally measure the state, what we get is precisely the answer that we want
Because the quantum operations can perform these shufflings and recombinations on a massive scale, processing exponentially many complex amplitudes together in a short amount of time, quantum computations can buy us enormous computational power. Examples of problems where we know we can attain such an exponential speedup are factoring large numbers, quickly finding principal features in large clusters of points, and taking the fourier transforms of enormous signals (finding the periodicities, the key frequencies, within these signals). We can also gain smaller yet still significant gains in database search and other problems. It's truly an amazing field. :)
How inspiring!
Wave-particle duality is not so enigmatic if you add the concept that the waves in question are WAVES OF PROBABILITY. Dr. Lloyd almost says this when he mentions locations of electrons, but then he backs away from going far enough: There is a PROBABILITY that the electron is at some point (e.g. "here") but this probability can fluctuate; if so, it fluctuates in a WAVY fashion. The electron doesn't turn into a wave, and there is no "duality" between the electron and its wave. The probability of finding that electron "here" or "there" is what does the waving! Meanwhile, the location of the eIectron is a quantum state, as is its spin, which is useful in quantum computing. Thus, in the equation for superposition of the spin-states of an electron, you may find up-spin multiplied by a probability P (by a probability amplitude to be exact, the square root) PLUS (+) down-spin multiplied by a probability amplitude, all divided by 2. And indeed if you measure the spin repeatedly, you will find up-spin 50% of the time and down-spin 50% of the time. Now it's possible, and at times critically important, to alter the probability amplitudes (as long as the sum of all P's is 100% [normalized]) so as to favor one direction of spin over the other. Then upon measurements the "wave" will have two unequal fluctuations, but it's the P's that have undulated.
QC occurs in nature,our five senses, our brain and all our cells have QC capabilities. Instead if semiconductor transistors with three terminals reading out 0 and 1, nature employs amplifiers with multiple terminals which can read out intermediate states, Qubits, occurring in nature. I wonder why Bell Laboratory doesn't study these systems in details.
""This is just weird and counterintuitive. There is no classical intuition that coresponds something like, socerball being here and there simultaneously even if messi can look like that every now and then"
I think we can put everything aside and rely on the evidence.
What's the time, what is the time mean for quantum?
Plank scale probably
or instantaneous?
What are you doing?
"more impressive considering he said it in danish". Uh no - the guy was Danish. If an American scientist such as your good self said it in Danish, now that would be impressive.
Hey Seth, Stop Computing The Universe Please. Thank You.
Quantum fluctuations prove that quantum mechanical law is just a special case of a general law. In this case the complexity principle- even Alan Turing, Gödel, Hilbert, von Neumann and the like giants of computer revolution knew this as far as early 20th century.
A quantum computer has done nothing other than 3 times 5 and the answer was wrong
What did they say the day before the wright brothers flew?
"Flying is never achievable, not for centuries"
the evidence suggests that quantum computers are beyond our technology.
Seth is misleadgnd you here
I wonder if particle-wave duality would be able to describe his hair in windy conditions