Quantum entanglement of photons doubles microscope resolution

Date: May 2, 2023   Source: California Institute of Technology

Summary:

Using a "spooky" phenomenon of quantum physics, researchers have discovered a 
way to double the resolution of light microscopes.

FULL STORY

Using a "spooky" phenomenon of quantum physics, Caltech researchers have 
discovered a way to double the resolution of light microscopes.

In a paper appearing in the journal Nature Communications, a team led by Lihong 
Wang, Bren Professor of Medical Engineering and Electrical Engineering, shows 
the achievement of a leap forward in microscopy through what is known as 
quantum entanglement..


According to quantum theory, any type of particle can be entangled. In the case 
of Wang's new microscopy technique, dubbed quantum microscopy by coincidence 
(QMC), the entangled particles are photons.

Collectively, two entangled photons are known as a biphoton, and, importantly 
for Wang's microscopy, they behave in some ways as a single particle that has 
double the momentum of a single photon.

Since quantum mechanics says that all particles are also waves, and that the 
wavelength of a wave is inversely related to the momentum of the particle, 
particles with larger momenta have smaller wavelengths.

So, because a biphoton has double the momentum of a photon, its wavelength is 
half that of the individual photons.

This is key to how QMC works.

A microscope can only image the features of an object whose minimum size is 
half the wavelength of light used by the microscope. Reducing the wavelength of 
that light means the microscope can see even smaller things, which results in 
increased resolution.

Quantum entanglement is not the only way to reduce the wavelength of light 
being used in a microscope. Green light has a shorter wavelength than red 
light, for example, and purple light has a shorter wavelength than green light. 
But due to another quirk of quantum physics, light with shorter wavelengths 
carries more energy.

So, once you get down to light with a wavelength small enough to image tiny 
things, the light carries so much energy that it will damage the items being 
imaged, especially living things such as cells. This is why ultraviolet (UV) 
light, which has a very short wavelength, gives you a sunburn.

QMC gets around this limit by using biphotons that carry the lower energy of 
longer-wavelength photons while having the shorter wavelength of higher-energy 
photons.

"Cells don't like UV light," Wang says. "But if we can use 400-nanometer light 
to image the cell and achieve the effect of 200-nm light, which is UV, the 
cells will be happy, and we're getting the resolution of UV."

To achieve that, Wang's team built an optical apparatus that shines laser light 
into a special kind of crystal that converts some of the photons passing 
through it into biphotons. Even using this special crystal, the conversion is 
very rare and occurs in about one in a million photons.

Using a series of mirrors, lenses, and prisms, each biphoton -- which actually 
consists of two discrete photons -- is split up and shuttled along two paths, 
so that one of the paired photons passes through the object being imaged and 
the other does not.

The photon passing through the object is called the signal photon, and the one 
that does not is called the idler photon. These photons then continue along 
through more optics until they reach a detector connected to a computer that 
builds an image of the cell based on the information carried by the signal 
photon.

Amazingly, the paired photons remain entangled as a biphoton behaving at half 
the wavelength despite the presence of the object and their separate pathways.

Wang's lab was not the first to work on this kind of biphoton imaging, but it 
was the first to create a viable system using the concept. "We developed what 
we believe a rigorous theory as well as a faster and more accurate 
entanglement-measurement method. We reached microscopic resolution and imaged 
cells."

While there is no theoretical limit to the number of photons that can be 
entangled with each other, each additional photon would further increase the 
momentum of the resulting multiphoton while further decreasing its wavelength.

Wang says future research could enable entanglement of even more photons, 
although he notes that each extra photon further reduces the probability of a 
successful entanglement, which, as mentioned above, is already as low as a 
one-in-a-million chance.


The paper describing the work, "Quantum Microscopy of Cells at the Heisenberg 
Limit," appears in the April 28 issue of Nature Communications. Co-authors are 
Zhe Heand Yide Zhang, both postdoctoral scholar research associates in medical 
engineering; medical engineering graduate student Xin Tong (MS '21); and Lei Li 
(PhD '19), formerly a medical engineering postdoctoral scholar and now an 
assistant professor of electrical and computer engineering at Rice University.

Funding for the research was provided by the Chan Zuckerberg Initiative and the 
National Institutes of Health.

Story Source: Materials provided by California Institute of Technology. 
Original written by Emily Velasco. Note: Content may be edited for style and 
length.

Journal Reference:
Zhe He, Yide Zhang, Xin Tong, Lei Li, Lihong V. Wang. Quantum microscopy of 
cells at the Heisenberg limit. Nature Communications, 2023; 14 (1) DOI: 
10.1038/s41467-023-38191-4

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