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Entangled Images and Delayed EPR Entanglement

Better Late than Ever: Delayed Quantum Image
February 2009


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In this simplified representation of the experimental setup for a ‘quantum buffer,’ a cell containing rubidium gas is used to produce a pair of information-rich entangled images. One of the images goes through a second rubidium gas cell and slows down, which is potentially useful for feeding data at properly timed intervals to future quantum computers. The delay can be controlled such that, during the time it takes one image to travel a centimeter, the other image can travel up to 8 meters. Twisted loops illustrate entanglement between the images.
Credit: A. Marino/JQI

Pushing the envelope of Albert Einstein’s “spooky action at a distance,” known as entanglement, researchers at the Joint Quantum Institute (JQI) of the Commerce Department’s National Institute of Standards and Technology (NIST) and the University of Maryland have demonstrated a “quantum buffer,” a technique that could be used to control the data flow inside a quantum computer.

Quantum computers could potentially speed up or expand present capabilities in decrypting data, searching large databases, and other tasks. The new research is published in the Feb. 12 issue of the journal.*
“If you want to set up some sort of communications system or a quantum information-processing system, you need to control the arrival time of one data stream relative to other data streams coming in,” says JQI’s Alberto Marino, lead author of the paper. “We can accomplish the delay in a compact setup, and we can rapidly change the delay if we want, something that would not be possible with usual laboratory apparatus such as beamsplitters and mirrors,” he says.

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Closeup of two “quantum images” created with the help of a “pump” laser beam. The two images are “entangled,” so that if there is a change in the intensity in one region (“pixel”) of the image, there would be an identical change in the intensity in the corresponding pixel in the second image. In this experiment, one of the images is delayed on its arrival to a detector, so that the correlations between the two images can be out of sync by up to 27 nanoseconds, something that is potentially useful for managing data to a future “quantum computer.”
Credit: A. Marino/JQI

This new work follows up on the researchers’ landmark creation in 2008 of pairs of multi-pixel quantum images (http://www.nist.gov/public_ affairs/releases/quantum_images.html).

A pair of quantum images is “entangled,” which means that their properties are linked in such a way that they exist as a unit rather than individually. In the JQI work, each quantum image is carried by a light beam and consists of up to 100 “pixels.” A pixel in one quantum image displays random and unpredictable changes say, in intensity, yet the corresponding pixel in the other image exhibits identical intensity fluctuations at the same time, and these fluctuations are independent from fluctuations in other pixels. This entanglement can persist even if the two images are physically disconnected from one another.

By using a gas cell to slow down one of the light beams to 500 times slower than the speed of light, the group has demonstrated that they could delay the arrival time of one of the entangled images at a detector by up to 27 nanoseconds. The correlations between the two entangled images still occur—but they are out of sync.
A flicker in the first image would have a corresponding flicker in the slowed-down image up to 27 nanoseconds later.
While such “delayed entanglement” has been demonstrated before, it has never been accomplished in information-rich quantum images. Up to now, the “spooky action at a distance” has usually been delayed in single-photon systems.
“What gives our system the potential to store lots of data is the combination of having multiple-pixel images and the possibility of each pixel containing ‘continuous’ values for properties such as the intensity,” says co-author Raphael Pooser.

To generate the entanglement, the researchers use a technique known as four-wave mixing, in which incoming light waves are mixed with a “pump” laser beam in a rubidium gas cell to generate a pair of entangled light beams.
In their experiment, the researchers then send one of the entangled light beams through a second cell of rubidium gas where a similar four-wave mixing process is used to slow down the beam. The beam is slowed down as a result of the light being absorbed and re-emitted repeatedly in the gas. The amount of delay caused by the gas cell can be controlled by changing the temperature of the cell (by modifying the density of the gas atoms) and also by changing the intensity of the pump beam for the second cell.
This demonstration shows that this type of quantum buffer could be particularly useful for quantum computers, both in its information capacity and its potential to deliver data at precisely defined times.

* “Tunable Delay of Einstein-Podolsky-Rosen Entanglement,” A.M. Marino, R.C. Pooser, V.
Boyer, and P.D. Lett. (Feb. 12, 2009)


 

First Teleportation Between Distant Atoms

Long Distance Teleportation Between Atoms
Landmark Result May Hasten Advent of Quantum Repeaters, Networks
January 2009

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For the first time, scientists have successfully teleported information between two separate atoms in unconnected enclosures a meter apart – a significant milestone in the global quest for practical quantum information processing.

Teleportation may be nature’s most mysterious form of transport: Quantum information, such as the spin of a particle or the polarization of a photon, is transferred from one place to another, but without traveling through any physical medium. It has previously been achieved between photons over very large distances, between photons and ensembles of atoms, and between two nearby atoms through the intermediary action of a third. None of those, however, provides a feasible means of holding and managing quantum information over long distances.

Now a team from the Joint Quantum Institute (JQI) at the University of Maryland (UMD) and the University of Michigan has succeeded in teleporting a quantum state directly from one atom to another over a substantial distance.* That capability is necessary for workable quantum information systems because they will require memory storage at both the sending and receiving ends of the transmission. In the Jan. 23 issue of the journal Science, the scientists report that, by using their protocol, atom-to-atom teleported information can be recovered with perfect accuracy about 90% of the time – and that figure can be improved.

“Our system has the potential to form the basis for a large-scale ‘quantum repeater’ that can network quantum memories over vast distances,” says group leader Christopher Monroe of JQI and UMD. “Moreover, our methods can be used in conjunction with quantum bit operations to create a key component needed for quantum computation.” A quantum computer could perform certain tasks, such as encryption-related calculations and searches of giant databases, considerably faster than conventional machines. The effort to devise a working model is a matter of intense interest worldwide.

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Laboratory Setup for Teleportation Experiment.(Image 1)

Teleportation works because of a remarkable quantum phenomenon called entanglement which only occurs on the atomic and subatomic scale. Once two objects are put in an entangled state, their properties are inextricably entwined. Although those properties are inherently unknowable until a measurement is made, measuring either one of the objects instantly determines the characteristics of the other, no matter how far apart they are.

The JQI team set out to entangle the quantum states of two individual ytterbium ions so that information embodied in the condition of one could be teleported to the other. Each ion was isolated in a separate high-vacuum trap, suspended in an invisible cage of electromagnetic fields and surrounded by metal electrodes. [See illustration above.] The researchers identified two readily discernible ground (lowest energy) states of the ions that would serve as the alternative “bit” values of an atomic quantum bit, or qubit.
Conventional electronic bits (short for binary digits), such as those in a personal computer, are always in one of two states: off or on, 0 or 1, high or low voltage, etc. Quantum bits, how-ever, can be in some combination, called a “superposition,” of both states at the same time, like a coin that is simultaneously heads and tails – until a measurement is made. It is this phenomenon that gives quantum computation its extraordinary power.

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Laboratory Setup for Teleportation Experiment. (Image 2)

At the start of the experimental process, each ion (designated A and B) is initialized in a given ground state. Then ion A is irradiated with a specially tailored microwave burst from one of its cage electrodes, placing the ion in some desired superposition of the two qubit states – in effect “writing” into “memory” the information to be teleported.

Immediately thereafter, both ions are excited by a picosecond (one trillionth of a second) laser pulse. The pulse duration is so short that each ion emits only a single photon as it sheds the energy gained by the laser and falls back to one or the other of the two qubit ground states.

Depending on which one it falls into, the ion emits one of two kinds of photons of slightly different wavelengths (designated red and blue) that correspond to the two atomic qubit states. It is the relationship between those photons that will eventually provide the telltale signal that entanglement has occurred.

Each emitted photon is captured by a lens, routed to a separate strand of fiber-optic cable, and carried to a 50-50 beamsplitter where it is equally probable for the photon to pass straight through the splitter or to be reflected. On either side of the beamsplitter are detectors that can record the arrival of a single photon.

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The pulsed laser beam that excites the ion enters through a port at the base of the vacuum chamber.
Before it reaches the beamsplitter, each photon is in an unknowable superposition of states. After encountering the beamsplitter, however, each takes on specific characteristics. As a result, for each pair of photons, four color combinations are possible – blue-blue, red-red, blue-red and red-blue – as well as one of two polarizations: horizontal or vertical. In nearly all of those variations, the photons either cancel each other out or both end up in the same detector. But there is one – and only one – combination in which both detectors will record a photon at exactly the same time.

In that case, however, it is physically impossible to tell which ion produced which photon because it cannot be known whether a photon arriving at a detector passed through the beamsplitter or was reflected by it.

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The ion trap in the vacuum chamber, as seen through the window pictured above. The individual ytterbium ion, though obviously not visible to the eye, is imaged and monitored by sensors in the lab.

Thanks to the peculiar laws of quantum mechanics, that inherent uncertainty projects the ions into an entangled state. That is, each ion is in a superposition of the two possible qubit states. The simultaneous detection of photons at the detectors does not occur often, so the laser stimulus and photon emission process has to be repeated many thousands of times per second. But when a photon appears in each detector, it is an unambiguous signature of entanglement between the ions.

When an entangled condition is identified, the scientists immediately take a measurement of ion A. The act of measurement forces it out of superposition and into a definite condition: one of the two qubit states. But because ion A’s state is irreversibly tied to ion B’s, the measurement also forces B into the complementary state. Depending on which state ion A is found in, the researchers now know precisely what kind of microwave pulse to apply to ion B in order to recover the exact information that had been written to ion A by the original microwave burst. Doing so results in the accurate teleportation of the information.

What distinguishes this outcome as teleportation is that no information pertaining to the original memory actually passes between ion A and ion B. The information disappears when ion A is measured and reappears when the microwave pulse is applied to Ion B.

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The ion trap outside the vacuum chamber. A total of six electrodes are used to hold the ion in place. Once in position, the ion can be kept in the trap for weeks.

“One particularly attractive aspect of our method is that it combines the unique advantages of both photons and atoms,” says Monroe. “Photons are ideal for transferring information fast over long distances, whereas atoms offer a valuable medium for long-lived quantum memory. The combination represents an attractive architecture for a ‘quantum repeater,’ that would allow quantum information to be communicated over much larger distances than can be done with just photons. Also, the teleportation of quantum information in this way could form the basis of a new type of quantum internet that could outperform any conventional type of classical network for certain tasks.”

The research was supported by the Intelligence Advanced Research Project Activity program under U.S. Army Research Office contract, the National Science Foundation (NSF) Physics at the Information Frontier Program, and the NSF Physics Frontier Center at JQI.

* “Quantum Teleportation Between Distant Matter Qubits,” S. Olmschenk, D. N.
Matsukevich, P. Maunz, D. Hayes, L.-M.
Duan and C. Monroe. Science, 323, 486 (23 January 2009).



   

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