So here's a quote from Niels Bohr, who is the famous

physicist who discovered the structure of that.

And he talks about how quantum mechanics is a very

counterintuitive theory. And anyone who's not

shocked by quantum mechanics has not understood it.

Another way of understanding this quote is that,

if you really want to deeply understand quantum

mechanics, then you have to grapple with the quantum

counterintuitive aspects of the theory. And so for those of

you who haven't really studied quantum mechanics before,

this way of approaching it, this emphasis on the one simple

systems, which illustrate the most counterintuitive

aspects of the theory, this might be the right way to

start studying the subject. Introduction by Umesh Vazirani (Ft. Berkeley & University of California)

physicist who discovered the structure of that.

And he talks about how quantum mechanics is a very

counterintuitive theory. And anyone who's not

shocked by quantum mechanics has not understood it.

Another way of understanding this quote is that,

if you really want to deeply understand quantum

mechanics, then you have to grapple with the quantum

counterintuitive aspects of the theory. And so for those of

you who haven't really studied quantum mechanics before,

this way of approaching it, this emphasis on the one simple

systems, which illustrate the most counterintuitive

aspects of the theory, this might be the right way to

start studying the subject. Introduction by Umesh Vazirani (Ft. Berkeley & University of California)

And this brings me to the other part

of the course, which is an introduction to quantum mechanics.

Now the way we'll study quantum mechanics in this course

is in terms of a very simple building block, which comes

from quantum computation, which is that of a qubit.

So just as a bit, it's the simplest representation

of information in the classical world. A qubit is the

simplest quantum system that we can think of. And describing

quantum mechanics, the basic principles of quantum mechanics,

in terms of qubits, greatly simplifies the presentation. Introduction by Umesh Vazirani (Ft. Berkeley & University of California)

of the course, which is an introduction to quantum mechanics.

Now the way we'll study quantum mechanics in this course

is in terms of a very simple building block, which comes

from quantum computation, which is that of a qubit.

So just as a bit, it's the simplest representation

of information in the classical world. A qubit is the

simplest quantum system that we can think of. And describing

quantum mechanics, the basic principles of quantum mechanics,

in terms of qubits, greatly simplifies the presentation. Introduction by Umesh Vazirani (Ft. Berkeley & University of California)

UMESH VAZIRANI: Hello.

I'm Umesh Vazirani at UC Berkeley.

And I'm delighted to welcome you to this course

on Quantum Mechanics and Quantum Computation.

I'm sure many of you know that quantum computation

starts with this remarkable discovery that quantum

systems are exponentially powerful. So a major goal

of quantum computation is to harness this exponential power

to solve interesting computation problems. So in this

overview I want to tell you about what you can expect

to learn from this course, and how this course is organized. Introduction by Umesh Vazirani (Ft. Berkeley & University of California)

I'm Umesh Vazirani at UC Berkeley.

And I'm delighted to welcome you to this course

on Quantum Mechanics and Quantum Computation.

I'm sure many of you know that quantum computation

starts with this remarkable discovery that quantum

systems are exponentially powerful. So a major goal

of quantum computation is to harness this exponential power

to solve interesting computation problems. So in this

overview I want to tell you about what you can expect

to learn from this course, and how this course is organized. Introduction by Umesh Vazirani (Ft. Berkeley & University of California)

On a whim, Showalter looked far beyond the ring segments and noticed the white dot about 65,400 miles from Neptune, located between the orbits of the Neptunian moons Larissa and Proteus. The dot is S/2004 N 1. Showalter plotted a circular orbit for the moon, which completes one revolution around Neptune every 23 hours.
NASA Hubble Finds New Neptune Moon by National Aeronautics and Space Administration (NASA)

Mark Showalter of the SETI Institute in Mountain View, Calif., found the moon July 1, while studying the faint arcs, or segments of rings, around Neptune. "The moons and arcs orbit very quickly, so we had to devise a way to follow their motion in order to bring out the details of the system," he said. "It's the same reason a sports photographer tracks a running athlete -- the athlete stays in focus, but the background blurs."
NASA Hubble Finds New Neptune Moon by National Aeronautics and Space Administration (NASA)

It even escaped detection by NASA's Voyager 2 spacecraft, which flew past Neptune in 1989 and surveyed the planet's system of moons and rings.
NASA Hubble Finds New Neptune Moon by National Aeronautics and Space Administration (NASA)

The moon, designated S/2004 N 1, is estimated to be no more than 12 miles across, making it the smallest known moon in the Neptunian system. It is so small and dim that it is roughly 100 million times fainter than the faintest star that can be seen with the naked eye
NASA Hubble Finds New Neptune Moon by National Aeronautics and Space Administration (NASA)

NASA's Hubble Space Telescope has discovered a new moon orbiting the distant blue-green planet Neptune, the 14th known to be circling the giant planet.
NASA Hubble Finds New Neptune Moon by National Aeronautics and Space Administration (NASA)

The observations of NGC 2392 were part of a study of three planetary nebulas with hot gas in their center. The Chandra data show that NGC 2392 has unusually high levels of X-ray emission compared to the other two. This leads researchers to deduce that there is an unseen companion to the hot central star in NGC 2392. The interaction between a pair of binary stars could explain the elevated X-ray emission found there.
A Beautiful End to a Star’s Life by National Aeronautics and Space Administration (NASA)